Question 249403
(28+x)^2+x^2=52^2
784+56x+x^2+x^2=2,704
2x^2+56x+784-2,704
2x^2+56x-1,920=0
2(x^2+28x-960)=0
2(x-20)(x+48)=0
x-20=0
x=20 inches for the height
20+28=48 inches for the length.
Proof:
48^2+20^2=52^2
2,304+400=2,704
2,704=2,704