Question

A rectangular garden is enclosed with eighty-six meters of fencing. The garden is thirteen meters longer than it is wide. Find the dimensions of the garden.

Answer 1

Answer: length = 28 meters

Width = 15 meters

Step-by-step explanation:

Let L represent the length of the rectangular garden.

Let W represent the width of the rectangular garden.

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

Perimeter = 2(L + W)

The rectangular garden is enclosed with eighty-six meters of fencing. This means that

2(L + W) = 86

Dividing through by 2, it becomes

L + W = 43- - - - - - - - - - - -1

The garden is thirteen meters longer than it is wide.. This means that

L = W + 13

Substituting L = W + 13 into equation 1, it becomes

W + 13 + W = 43

2W + 13 = 44

2W = 43 - 13

2W = 30

W = 30/2

W = 15

L = W + 13 = 15 + 13

L = 28