SOLUTION: A rectangular carpet has an area of 81 sq. metre and a perimetre of 30 metre. The length of its diagonal is-

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Question 823868: A rectangular carpet has an area of 81 sq. metre and a perimetre of 30 metre. The length of its diagonal is-
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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x and y are the dimensions of the rectangle.
xy=81 and 2x+2y=30 which means, x%2By=15.

More than one way to go from there...

y=15-x;
x(15-x)=81
15x-x^2=81
x^2-15x+81=0 seems not factorable.
x=(15+sqrt(15^2-4*81))/(2), contains imaginary component.

Either I made a fundamental mistake or your situation described is impossible.