Answer:
The dimensions are length = 8 and width = 4 feet.
Step-by-step explanation:
Perimeter = 2(w + l) where w = width and l = length.
2(w + l) = 24
Area wl = 32
w = 32/l
Now substitute for w in the equation for the perimeter:
2(32/l + l) = 24
32/l + l = 12
Multiply through by l:
32 + l^2 = 12l
l^2 - 12l + 32 = 0
(l - 4)(l - 8) = 0
l = 4, 8
When l = 8, w = 32/8 = 4.
So l = 8, w = 4 ( length must be > width.
