Answer:width is 9ft
Length is 12 ft
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The area of a triangle is expressed as length, L × Width, W.
Area of the rectangular pen is 108 ft^2. Therefore,
LW = 108 - - - - - - - 1
if the width is 3 feet less than the length, it means that
W = L - 3
Substituting W = L - 3 into equation 1, it becomes
L(L - 3) = 108
L^2 - 3L = 108
L^2 - 3L- 108 = 0
L^2 + 9L- 12L - 108 = 0
L(L + 9) - 12(L + 9) = 0
L - 12 = 0 or L + 9= 0
L = 12 or L = - 9
The length cannot be negative,
so Length = 12ft
W = 108/L = 108/12 = 9 ft
