1

Set 10: Linear Equations (Intermediate)

Explanation

Answer: B

The perimeter of a rectangle is 60. The length is twice the width. What is the area?

A.

400

B.

200

✓ Correct
C.

150

D.

100

Detailed Explanation

Choice B is correct. Choice B is the correct answer. 1. Define: W=w,L=2wW=w, L=2 w. 2. Perimeter: 2(w+2w)=606w=60w=102(w + 2 w) = 60 \rightarrow 6 w = 60 \rightarrow w = 10. 3. Length: 2020. 4. Area: 10×20=20010\times 20 = 200. Choice D is incorrect because it results from an error in the solution process. Choice A is incorrect because it results from an error in the solution process. Choice C is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 200

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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