SOLUTION: what will be the length of the diagonal of the square plot whose area is equal to the area of rectangular plot of leangth 45 meters and breath 40 meters ?

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Question 844168: what will be the length of the diagonal of the square plot whose area is equal to the area of rectangular plot of leangth 45 meters and breath 40 meters ?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The square plot is x by x. Diagonal is d, and let's form d%5E2=x%5E2%2Bx%5E2, which is according to Pythagorean Theorem. d=sqrt%282x%5E2%29, highlight_green%28d=x%2Asqrt%282%29%29.

Area of the square plot would be x%5E2. Will you use this?

Rectangular plot is 45 by 40 meter*meter, so this area is 45%2A40=1800 square meters.

Back to the square plot. The description means that highlight_green%28x%5E2=1800%29 and we want to use highlight_green%28d=x%2Asqrt%282%29%29.
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We want to find d as our answer.
x=sqrt%281800%29, which you should try to use in its simplified form.
d=sqrt%281800%29%2Asqrt%282%29,
sqrt%282%2A1800%29
sqrt%283600%29
sqrt%286%2A6%2A100%29
Final result, highlight%28d=60%29