Question 8 Answer & Explanation - SAT Algebra

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algebra

The ratio of length to width is 5:2. If the perimeter is 70, what is the length?

Correct Answer: A

Choice Bhoice D is the correct answer.

Define: $L = 5x, W = 2x$ .
Perimeter: $2(5x + 2x) = 70$
Simplify: $2(7x) = 70 \rightarrow 14x = 70$
Divide by 14: $x = 5$
Length: $5(5) = 25$

Choice Bhoice A is incorrect because this is the width.

Choice Bhoice D is incorrect because calculation error.

Choice Bhoice C is incorrect because calculation error.

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