Question

You install 404 feet of fencing along the perimeter of a rectangular yard.

The width of the yard is 100 feet. What is the length of the yard?

Answer 1

Length of the yard = 102 ft

Explanation:

Perimeter of the yard P = 404 ft

Width of the yard W = 100 ft

Find Length of the yard L = ?

Perimeter of a rectangular = 2L + 2W

404 = 2L + 2(100)

2L = 404 - 200

2L = 204

L = 204 / 2

L = 102 ft

Answer 2

The length of the yard is 102

Explanation:

If the width of the yard is 100 feet, and it's a rectangular, that means the other side of the rectangle is also equal to 100 feet. So so far we have 200 feet of the yard covered. Then we do 404-200=204. So the combined length of both the sides is 204. Since they both equal the same length, we can then do 204/2 to get 102. So one side length is 102 and the L, W, L, W of the rectangle is 102, 100, 102, 100. In other words, the rectangle is 102 by 100.