Question

Traffic signs are regulated by the manual on uniform traffic control devices.  the perimeter of a rectangular traffic sign is 104 inches. Also, its length is 8 inches longer than its width. Find the dimensions of this sign

Answer 1

L = 22 inches

W = 30 inches

Explanation:

Perimeter of a rectangle is equal to 2 times the width plus 2 times the length.

P = 2W + 2L

We are given the width in terms of length.

L+8 = W

Plug this in for W:

P = 2(L+8) + 2L

104 = 2L + 16 + 2L

104 = 4L +16

88 = 4L

L = 22 inches

Now go back to this equation L+8 = W.

22+ 8 = W

W = 30 inches

To check plug the 30 and 22 into the equation P = 2W + 2L and make sure it is equal to 104.