Question

if the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm the area of the rectangle is​

Answer 1

Let the length be x and the breadth be y.

Then,

→ 2(x+y)= 46

→ x+y = 23

→ x² + y² = (17)²

→ x² + y² = 289

Now,

→ (x+y)² = (23)²

→ (x²+y²) + 2xy = 529

→ 289+2xy = 529

→ xy = 120

Hence,

The Area of the rectangle will be 120 cm².