Posted by **lisa** on Monday, July 8, 2013 at 11:43am.

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.

- algebra1 HELP PLEASE -
**Steve**, Monday, July 8, 2013 at 11:56am
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

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