If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm, find the area of the rectangle. Select the correct option
A) 127 cm ^ 2	B) 125 cm ^ 2	C) 120 cm ^ 2	D) 102 cm ^ 2	E) none of them

Rationale: 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 < = > ( x ^ 2 + y ^ 2 ) + 2 xy = 529 < = > 289 + 2 xy = 529 = xy = 120 area = xy = 120 cm ^ 2 answer is c .
Answer: C