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, Then
`2(x + y) = 46 ` or x + y = 23 and `x^2 + y^2 = (17)^2` = 289
Now `(x + y)^2 = (23)^2 ` `hArr x^2 + y^2 + 2xy = 529`
`hArr 289 + 2xy = 529`
`hArr 2xy = 529 - 289 ` `hArr 2xy = 240` `hArr xy = 120`
`:.` Area = ` xy` = 120`cm^2`
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