SAT Math Practice Question #1640 (Medium (620)) | Test Citadel
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SAT Math Difficulty: Medium (620)

Digital SAT Math Practice Question #1640

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Triangle \(ABC\) is similar to triangle \(DEF\), where vertices \(A, B,\) and \(C\) correspond to \(D, E,\) and \(F\), respectively. If the ratio of side \(AB\) to side \(DE\) is \(3:5\) and the area of triangle \(ABC\) is 36 square inches, what is the area of triangle \(DEF\), in square inches?
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Area ratio is side ratio SQUARED: (5/3)^2 = 25/9. 36 * (25/9) = 100.

Masterclass Solution & Distractor Trap Analysis

When two triangles are similar with linear scale factor \(k = \frac{5}{3}\), their areas scale by \(k^2 = \left(\frac{5}{3}\right)^2 = \frac{25}{9}\). Therefore, Area(DEF) = \(36 \times \frac{25}{9} = 4 \times 25 = 100\)....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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