SOLUTION: Area of a rectangle is 24cm^2 and perimeter is 20c.m. then length of diagonal is-

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Question 889933: Area of a rectangle is 24cm^2 and perimeter is 20c.m. then length of diagonal is-
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x and y the dimensions.
xy=24 and 2x+2y=20, and for diagonal, size is sqrt(x^2+y^2).

x%2By=10 from perimeter.
y=10-x
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x%2810-x%29=24
10x-x%5E2=24
-x%5E2%2B10x-24=0
x%5E2-10x%2B24=0
x=%2810%2Bsqrt%28100-4%2A24%29%29%2F2
x=%2810%2B2%29%2F2
x=6
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y=10-6
y=4
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Diagonal is highlight%28sqrt%286%5E2%2B4%5E2%29=sqrt%2852%29=highlight%282sqrt%2813%29%29%29