Answer
60ft by 40ft
Work Step by Step
Perimeter = 200ft = 2x+2y
Area = 2400 ft$^{2}$ = (x)$\times$(y)
Express y from the second equation:
y=$\frac{2400}{x}$
Plug it into the first equation
200=2x+2$\times$$\frac{2400}{x}$
200=2x+$\frac{4800}{x}$
200x=2$x^{2}$ +4800
0=2$x^{2}$ -200x +4800
Quadratic formula:
$200^{2}$-4$\times$2$\times$4800=1600
x=$\frac{200 + or -\sqrt 1600}{4}$
Dimensions can't be negative, so the only answer is:
x=60
Plug this number into the first equation:
200=2$\times$60+2y
80=2y
y=40
