{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2017-01-28T01:25:56+00:00","modifiedTime":"2017-01-28T01:25:56+00:00","timestamp":"2022-09-14T18:17:09+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"SAT","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33794"},"slug":"sat","categoryId":33794}],"title":"SAT Practice Questions: Area of Quadrilaterals","strippedTitle":"sat practice questions: area of quadrilaterals","slug":"sat-practice-questions-area-quadrilaterals","canonicalUrl":"","seo":{"metaDescription":"Even though quadrilaterals have four sides, they can still look very different from each other. For example, the SAT Math exam may give you a question that invo","noIndex":0,"noFollow":0},"content":"Even though quadrilaterals have four sides, they can still look very different from each other. For example, the SAT Math exam may give you a question that involves anything from a square or rectangle, to a rhombus, to a parallelogram, to a trapezoid.\r\n\r\nThe following practice questions ask you to find the areas of a parallelogram and a trapezoid.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li><strong>What is the area of this parallelogram?</strong>\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0305.gif\"><img class=\"alignnone wp-image-232658 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0305.gif\" alt=\"SAT1001_parallelogram\" width=\"402\" height=\"151\" /></a>\r\n<strong>A.</strong> 4\r\n<strong>B.</strong> 5\r\n<strong>C.</strong> 6\r\n<strong>D.</strong> 8</li>\r\n\t<li><strong>If the trapezoid, </strong>\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0424.gif\"><img class=\"alignnone wp-image-232691 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0424.gif\" alt=\"SAT1001_trapezoid\" width=\"279\" height=\"205\" /></a>\r\n<strong>has a height of <em>b</em> – 3, what is the area of the trapezoid?</strong>\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_0901.gif\"><img class=\"alignnone size-full wp-image-232692\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_0901.gif\" alt=\"SAT1001_eq0901\" width=\"81\" height=\"139\" /></a></li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li><strong>The correct answer is Choice (C).</strong>\r\nThe area of a parallelogram comes from the base times the height. The height is the perpendicular distance between the top and the bottom, not the length of the slanted side.\r\nThe base is 3. To find the height, look at the 45-degree angle. This tells you that the left-hand side of the parallelogram is a 45-45-90 triangle, which has a side-length ratio of\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_0902.gif\"><img class=\"alignnone size-full wp-image-232693\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_0902.gif\" alt=\"SAT1001_eq0902\" width=\"56\" height=\"25\" /></a>\r\nwhere 1 is the leg and\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_0903.gif\"><img class=\"alignnone size-full wp-image-232694\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_0903.gif\" alt=\"SAT1001_eq0903\" width=\"25\" height=\"25\" /></a>\r\nis the hypotenuse.\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0602.gif\"><img class=\"alignnone wp-image-232698 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0602.gif\" alt=\"sat1001_hypotenuse\" width=\"402\" height=\"148\" /></a>\r\nIf the hypotenuse of the triangle is\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_0904.gif\"><img class=\"alignnone size-full wp-image-232695\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_0904.gif\" alt=\"SAT1001_eq0904\" width=\"43\" height=\"27\" /></a>\r\neach side of the triangle is 2, making the height of the parallelogram 2 and the area 6:\r\n<em>A</em> = <em>bh</em> = 3(2) = 6</li>\r\n\t<li><strong>The correct answer is Choice (C).</strong>\r\nYou can find the area of a trapezoid with the formula\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_0905.gif\"><img class=\"alignnone size-full wp-image-232696\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_0905.gif\" alt=\"SAT1001_eq0905\" width=\"109\" height=\"57\" /></a>\r\nwhere <em>b</em><sub>1</sub> represents one base, <em>b</em><sub>2</sub> represents the other base, and <em>h</em> represents the height. To find the area, plug in the bases and the height:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_0906.gif\"><img class=\"alignnone size-full wp-image-232697\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_0906.gif\" alt=\"SAT1001_eq0906\" width=\"152\" height=\"251\" /></a></li>\r\n</ol>","description":"Even though quadrilaterals have four sides, they can still look very different from each other. For example, the SAT Math exam may give you a question that involves anything from a square or rectangle, to a rhombus, to a parallelogram, to a trapezoid.\r\n\r\nThe following practice questions ask you to find the areas of a parallelogram and a trapezoid.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li><strong>What is the area of this parallelogram?</strong>\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0305.gif\"><img class=\"alignnone wp-image-232658 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0305.gif\" alt=\"SAT1001_parallelogram\" width=\"402\" height=\"151\" /></a>\r\n<strong>A.</strong> 4\r\n<strong>B.</strong> 5\r\n<strong>C.</strong> 6\r\n<strong>D.</strong> 8</li>\r\n\t<li><strong>If the trapezoid, </strong>\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0424.gif\"><img class=\"alignnone wp-image-232691 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0424.gif\" alt=\"SAT1001_trapezoid\" width=\"279\" height=\"205\" /></a>\r\n<strong>has a height of <em>b</em> – 3, what is the area of the trapezoid?</strong>\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_0901.gif\"><img class=\"alignnone size-full wp-image-232692\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_0901.gif\" alt=\"SAT1001_eq0901\" width=\"81\" height=\"139\" /></a></li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li><strong>The correct answer is Choice (C).</strong>\r\nThe area of a parallelogram comes from the base times the height. The height is the perpendicular distance between the top and the bottom, not the length of the slanted side.\r\nThe base is 3. To find the height, look at the 45-degree angle. This tells you that the left-hand side of the parallelogram is a 45-45-90 triangle, which has a side-length ratio of\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_0902.gif\"><img class=\"alignnone size-full wp-image-232693\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_0902.gif\" alt=\"SAT1001_eq0902\" width=\"56\" height=\"25\" /></a>\r\nwhere 1 is the leg and\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_0903.gif\"><img class=\"alignnone size-full wp-image-232694\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_0903.gif\" alt=\"SAT1001_eq0903\" width=\"25\" height=\"25\" /></a>\r\nis the hypotenuse.\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0602.gif\"><img class=\"alignnone wp-image-232698 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0602.gif\" alt=\"sat1001_hypotenuse\" width=\"402\" height=\"148\" /></a>\r\nIf the hypotenuse of the triangle is\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_0904.gif\"><img class=\"alignnone size-full wp-image-232695\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_0904.gif\" alt=\"SAT1001_eq0904\" width=\"43\" height=\"27\" /></a>\r\neach side of the triangle is 2, making the height of the parallelogram 2 and the area 6:\r\n<em>A</em> = <em>bh</em> = 3(2) = 6</li>\r\n\t<li><strong>The correct answer is Choice (C).</strong>\r\nYou can find the area of a trapezoid with the formula\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_0905.gif\"><img class=\"alignnone size-full wp-image-232696\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_0905.gif\" alt=\"SAT1001_eq0905\" width=\"109\" height=\"57\" /></a>\r\nwhere <em>b</em><sub>1</sub> represents one base, <em>b</em><sub>2</sub> represents the other base, and <em>h</em> represents the height. To find the area, plug in the bases and the height:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_0906.gif\"><img class=\"alignnone size-full wp-image-232697\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_0906.gif\" alt=\"SAT1001_eq0906\" width=\"152\" height=\"251\" /></a></li>\r\n</ol>","blurb":"","authors":[{"authorId":8978,"name":"Ron Woldoff","slug":"ron-woldoff","description":" <p><b>Ron Woldoff is founder of National Test Prep, where he helps students succeed on the GMAT, GRE, SAT, ACT, and PSAT. He’s the author of numerous Dummies test prep titles, including <i>GRE 2022 For Dummies</i> and <i>SAT: 1,001 Practice Questions For Dummies.</i></p> ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8978"}}],"primaryCategoryTaxonomy":{"categoryId":33794,"title":"SAT","slug":"sat","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33794"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[{"label":"Practice questions","target":"#tab1"},{"label":"Answers and explanations","target":"#tab2"}],"relatedArticles":{"fromBook":[{"articleId":232868,"title":"SAT Writing Practice Problems: Parallel Structure, Agreement, and Tense","slug":"sat-writing-practice-problems-parallel-structure-agreement-tense","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232868"}},{"articleId":232865,"title":"SAT Writing Practice Problems: Logic and Organization","slug":"sat-writing-practice-problems-logic-organization","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232865"}},{"articleId":232862,"title":"SAT Writing Practice Problems: Vocabulary in Context","slug":"sat-writing-practice-problems-vocabulary-context","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232862"}},{"articleId":232859,"title":"SAT Writing Practice Problems: Grammar and Punctuation","slug":"sat-writing-practice-problems-grammar-punctuation","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232859"}},{"articleId":232855,"title":"SAT Reading Practice Problems: Interpreting Visual Elements","slug":"sat-reading-practice-problems-interpreting-visual-elements","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232855"}}],"fromCategory":[{"articleId":293029,"title":"SAT Prep 2023 For Dummies Cheat Sheet","slug":"sat-prep-2023-for-dummies-cheat-sheet","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/293029"}},{"articleId":277844,"title":"10 Ways to Get the Most from the Practice SATs","slug":"10-ways-to-get-the-most-from-the-practice-sats","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/277844"}},{"articleId":277839,"title":"10 Mistakes You Won’t Make on the SAT","slug":"10-mistakes-you-wont-make-on-the-sat","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/277839"}},{"articleId":277836,"title":"Strategies for the SAT Reading Test","slug":"strategies-for-the-sat-reading-test","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/277836"}},{"articleId":277833,"title":"Simple Strategies for Taking the SAT Writing and Language Test","slug":"simple-strategies-for-taking-the-sat-writing-and-language-test","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/277833"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282560,"slug":"sat-1001-practice-questions-for-dummies","isbn":"9781119215844","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"amazon":{"default":"https://www.amazon.com/gp/product/1119215846/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1119215846/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1119215846-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1119215846/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1119215846/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/sat-1001-practice-questions-for-dummies-cover-9781119215844-202x255.jpg","width":202,"height":255},"title":"SAT","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p>Ron Woldoff is the founder of National Test Prep, where he helps students prepare for the SAT, GMAT, and GRE. 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SAT Practice Questions: Area of Quadrilaterals

By: Ron Woldoff and

Updated: 01-28-2017

From The Book: SAT

SAT

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Even though quadrilaterals have four sides, they can still look very different from each other. For example, the SAT Math exam may give you a question that involves anything from a square or rectangle, to a rhombus, to a parallelogram, to a trapezoid.

The following practice questions ask you to find the areas of a parallelogram and a trapezoid.

Practice questions

What is the area of this parallelogram?
A. 4 B. 5 C. 6 D. 8
If the trapezoid,
has a height of b – 3, what is the area of the trapezoid?

Answers and explanations

The correct answer is Choice (C). The area of a parallelogram comes from the base times the height. The height is the perpendicular distance between the top and the bottom, not the length of the slanted side. The base is 3. To find the height, look at the 45-degree angle. This tells you that the left-hand side of the parallelogram is a 45-45-90 triangle, which has a side-length ratio of
where 1 is the leg and
is the hypotenuse.
If the hypotenuse of the triangle is
each side of the triangle is 2, making the height of the parallelogram 2 and the area 6: A = bh = 3(2) = 6
The correct answer is Choice (C). You can find the area of a trapezoid with the formula
where b₁ represents one base, b₂ represents the other base, and h represents the height. To find the area, plug in the bases and the height:

About This Article

This article is from the book:

SAT ,

About the book author:

Ron Woldoff is the founder of National Test Prep, where he helps students prepare for the SAT, GMAT, and GRE. He is the author of several books, including GRE For Dummies and 1,001 GRE Practice Questions For Dummies.

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