Step-by-step explanation:
Imagine the sides are x and y.
2x+2y=64
2(x+y)=64
x+y=32
y=32−x
Now we know that xy = 240,
x(32−x)=240
−x2+32x−240=0
x2−32x+240=0
If you plug this in WolframAlpha or MathPapa, you get that the roots are x = 20 or x = 12
Since 32-x = y
If x = 20, y = 12
If x = 12, y = 20.
To check:
12*20 = 240
2(32) = 64
So, the dimensions are 20m x 12m.
