Posted by **jenny** on Thursday, July 22, 2010 at 8:48pm.

The length and width of a rectangle are in the ratio of 5:12. If the rectangle has an area of 240 square centimeters, what is the length, in centimeters, of its diagonal?

- algebra 2 -
**Henry**, Friday, July 23, 2010 at 10:11am
Length / Width = 5 / 12.

Width = X CM, Length = 5/12x cm.

A = X(5/12X) = 240 cm^2.

5/12(X^2) = 240

Multiply both sides by 12:

X^2 = 576

X = 24 cm = Width

5/12X = 5/12(24) = 10 cm = Length

- algebra 2 -
**Henry**, Friday, July 23, 2010 at 10:20am
D^2 = W^2 + L^2 = 100 + 576 = 676

D = sqrt(675) = 26 cm = Diagonal.

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