Question

a rectangle has a perimeter of 21 inches. Find its dimensions if its length is 3 inches greater than its width

Answer 1

The dimensions of the rectangle are length is 6.7 inches and its width is 3.7 inches.

What is the perimeter of a rectangle?

The formula for the perimeter of a rectangle is P = 2L + 2w,

where l is the length and w is the width.

We know that

21 = 2L + 2W

and

L = W + 3

then:

21 = 2(W+3) + 2W

21 = (2*W + 2*3) + 2W

21 = 2W + 6 + 2W

21 = 4W + 6

21 - 6 = 4W

15 = 4W

W = 15/4

W = 3.7

Now, L = W+3

L = 3.7+ 3

L = 6.7

Therefore, the dimensions of the rectangle are length is 6.7 inches and its width is 3.7 inches.

The complete question is

"The formula for the perimeter of a rectangle is P = 21 + 2w, where l is the length and w is the width. A rectangle has a perimeter of 21 inches. Find its dimensions if its length is 3 inches greater than its width."

Learn more about rectangles here;

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