The hensons are fencing a rectangular portion of their lot. They decide to make the length 12 feet longer than the width. They can afford 240 feet of fencing. What should've the dimensions?

Respuesta :

Answer:

The dimensions should be 66 ft by 54 ft

Step-by-step explanation:

Let L represent the length of the rectangular lot.

Let W represent the width of the rectangular lot.

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

Perimeter = 2(L + W)

They can afford 240 feet of fencing. This means that

2(L + W) = 240

Dividing through by 2, it becomes

L + W = 120 - - - - - - - - - - - -1

They decide to make the length 12 feet longer than the width.. This means that

L = W + 12

Substituting L = W + 12 into equation 1, it becomes

W + 12 + W = 120

2W + 12 = 120

2W = 120 - 12

2W = 108

W = 108/2

W = 54 feet

L = W + 12 = 54 + 12

L = 66 feet

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