Question 9 Answer & Explanation - SAT Algebra

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algebra

A rectangle's width is half its length. The perimeter is 30 cm. What is the length?

Correct Answer: D

Choice Choice D is the correct answer.

Define: Length = $l$ , Width = $0.5l$ .
Perimeter: $2l + 2(0.5l) = 30$
Simplify: $2l + l = 30 \rightarrow 3l = 30$
Divide by 3: $l = 10$
Verify: Width 5. $20 + 10 = 30$ ✓

Choice Choice C is incorrect because this is the width.

Choice Choice A is incorrect because calculation error.

Choice Choice B is incorrect because calculation error.

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