Rectangular Floor

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Rectangular Floor X is to be half as long as it is wide. If its perimeter is to be 240 yards, what will be the length of Floor X, in yards?

Review: Rectangular Floor


Explanation

Let's call the length and width of this floor L and W. The length is half, so we have . We can confirm that W is larger in that equation, so the 2 is on the correct side. The perimeter is 240, so we also have . We can solve by substituting; since , then the equation for perimeter becomes . Therefore, and . We have found the width! The question is asking for the length, which is half the width, so it is 40.

The correct answer is (B).


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