Aptitude Hack#73(7-5-19)

Question:

If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm, Find the area of the rectangle.
 A )   130 cm２
 B )   120 cm２
 C )   125 cm２
 D )   140 cm２

Answer: B) 120cm２

Explaination: 
Let length = x and breadth = y, Then,
2 (x + y) = 46 
=> x + y = 23 
 x２ + y２  = (17) ２ = 289.
Now, (x + y)２ = (23) ２ 
==> (x２+ y２) + 2xy = 529
 ==> 289 + 2xy = 529 
==> xy=120
Area ==> xy = 120 cm2