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If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle.

Correct Answer: 120

Explanation:

let length = x and breadth = y then  


2(x+y) = 46         =>   x+y = 23  


x²+y² = 17² = 289  


now (x+y)² = 23² 


=> x²+y²+2xy= 529 


=> 289+ 2xy = 529


=> xy = 120  


area = xy = 120 sq.cm


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