Question 10 Answer & Explanation - SAT Algebra

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algebra

A piece of wire 20 cm long is bent into a rectangle with width $x$ and length $x+2$ . What is the area?

Correct Answer: C

Choice Ahoice C is the correct answer.

Perimeter: $2(x + x + 2) = 20$
Simplify: $2(2x + 2) = 20 \rightarrow 4x + 4 = 20$
Subtract 4: $4x = 16 \rightarrow x = 4$ .
Dimensions: Width 4, Length 6.
Area: $4 \times 6 = 24$ .

Choice Ahoice D is incorrect because calculation error.

Choice Ahoice C is incorrect because calculation error.

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