1

Set 1: Linear Equations (Intermediate)

Explanation

Answer: D

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

A.

15

B.

20

C.

5

D.

10

✓ Correct

Detailed Explanation

Choice D is correct. Choice D is the correct answer. 1. Define: Length = ll, Width = 0.5l0.5l. 2. Perimeter: 2l+2(0.5l)=302l + 2(0.5 l) = 30 3. Simplify: 2l+l=303l=302l + l = 30 \rightarrow 3 l = 30 4. Divide by 3: l=10l = 10 5. Verify: Width 5. 20+10=3020+ 10 = 30 ✓ Choice C is incorrect because this is the width. Choice A is incorrect because it results from an error in the solution process. Choice B is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 10

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

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