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

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

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.