Question 1102245
width is x
length is 20-x, so half perimeter is 20 (L+W).
Area is x(20-x) and that equals 96
therefore 20x-x^2=96
x^2-20x+96=0
(x-12)(x-8)=0
x=12 feet or 8 feet.
Use 8 feet for width since given that width is smaller.
It is 8 ft x 12 ft.
That is an area of 96 ft^2.