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

• A. 120
• B. 130
• C. 140
• D. 110

Answer: (A)

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