If the diagonal of a rectangle is 18 cm long and its perimeter is 48 cm. Find the area of the rectangle?

Answer 1

126 cm^2

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Lets assume sides of rectangle are a and b, then we have:
(a+b)*2=48 cm --------> (1)
SQRT (a^2+b^2)=18 cm --------> (2)
S=ab=?

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(1) ---> a+b=24 cm
(2) ---> a^2+b^2=324 cm^2
(1)^2- (2) = (a+b)^2- (a^2+b^2) = 2ab = 252 ---> ab= 126 cm^2