If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm, find the area of the rectangle.
Options
A) 127 cm^2 B) 125 cm^2 C) 120 cm^2 D) 102 cm^2 E) None of them
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 &lt;=&gt; (x^2 + y^2) + 2xy = 529 &lt;=&gt; 289 + 2xy = 529 =xy=120   Area = xy = 120 cm^2   Answer is 120 cm^2.
<result>C</result>
If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm, find the area of the rectangle.