Question

A yard is 3 times as long as it is wide. 176 feet of fencing is needed to enclose the yard. Find the dimensions of the yard

Answer 1

P = 2(L + W)
L = 3W
P = 176

176 = 2(3W + W)
176 = 2(4W)
176 = 8W
176/8 = W
22 = W <=== width

L = 3W
L = 3(22)
L = 66 <===length

Answer 2

The perimeter of a rectangle is twice the sum of its side lengths.

P=2(L+W), we are told that L=3W and P=176 so

2(3W+W)=176

2(4W)=176

8W=176

W=22 ft, since L=3W

L=66 ft

So the yard is 22 feet wide and 66 feet long.