Answer:
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
