the width of the rectangular garden is eleven feet less than the length. find the dimensions. if the area is 80 square feet

the dimensions are;

Width = 14.5 ft

Length = 25.5 ft

Step-by-step explanation:

We are told that width is 11 feet less than length. Let Width be W and Length be L.

Thus;

W = L - 11

Area of rectangle is given by;

Area; A = 2W + 2L

Putting L - 11 for width, we have;

Area = 2 (L - 11) + 2 (L)

A = 2L - 22 + 2L

A = 4L - 22

Length = L

Width = W

Area = A

A = 4L-22

We are told that Area is 80 square feet. Thus;

80 = 4L - 22

Add 22 to both sides to give;

102 = 4L

Divide both sides by 4 to give;

102/4 = 4L/4

L = 25.5

Recall that; W = L - 11

Thus;

W = 25.5 - 11 = 14.5

So the dimensions are;

Width = 14.5 ft

Length = 25.5 ft