If the diagonal of a rectangle is 16 cm long and its perimeter is 48 cm long, find the area of the rectangle.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 160 cm2.
Let sides of rectangle = l and b
Diagonal = 16
so, l2 + b2 = 256
Perimeter = 48
so, l + b = 24
Now, (l + b)2 = l2 + b2 + 2lb
242 = 256 + 2lb
576 = 256 + 2lb
2lb = 320
lb = 160