Question

A certain field is a rectangle with a perimeter of 862 feet. The length is 179 feet more than the width. Find the width and length of the rectangular field.

Answer 1

Answer: length = 305 feet

Width = 126 feet

Step-by-step explanation:

Let L represent the length of the rectangular field.

Let W represent the width of the rectangular field.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of a garden is 88 feet. This means that

2(L + W) = 862

Dividing through by 2, it becomes

L + W = 431 - - - - - - - - - - - -1

The length is 179 feet more than the width. This means that

L = W + 179

Substituting L = W + 179 into equation 1, it becomes

W + 179 + W = 431

2W + 179 = 431

2W = 431 - 179

2W = 252

W = 252/2

W = 126

L = W + 179 = 126 + 179

L = 305