Question

The length of a rectangle is eight more than twice the width. The perimeter is 64. Find the length and width.

Answer 1

24 and 8

Explanation:

The formula for the perimeter of the rect. is P = 2W + 2L.

Here, L = 2W + 8, so the area formula becomes:

P = 2W + 2(2W + 8) = 64

Dividing all terms by 2 reduces this to:

W + 2W + 8 = 32, or 3W = 24, or W = 8.

Then: L = 2W + 8 = 2(8) + 8 = 24

Check: does 2W + 2L = 64 when these values for W and L are substituted?

Is 2(8) + 2(24) = 64 true? Yes

The length and width are 24 and 8 respectively.

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