If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm, find the area of the rectangle.
Let length = x and breadth = y.
2 (x + y) = 46
x + y = 23
x2 + y2 = (17)2 = 289.
(x + y)2 = (23)2 <=> (x2 + y2) + 2xy = 529 <=> 289 + 2xy = 529
xy=120
Area = xy = 120 cm2
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