Question

The length of a rectangle is 4 m less than the diagonal and the width is 7 m less than the diagonal. If the area is 76 m2, how long is the diagonal? Round your answer to the nearest tenth.

Answer 1

If the sides are x and y, and the diagonal is d,

x = d-7
y = d-4
so,

d = x+7 = y+4
That is, y = x+3

xy = 76, so
x(x+3) = 76
x = 7.35

So, the rectangle is 7.35 x 10.35
area = 76
diagonal is 12.69