Question

A rectangle is (8x + 5) cm long and (5x + 3) cm broad. Find its area.

Answer 1

Length of the rectangle = (8x + 5) cm

Breadth of the rectangle = (5x + 3) cm

Area of rectangle = length × breadth

= (8x + 5)(5x + 3)

= 8x(5x + 3) + 5(5x + 3)

= 8x × 5x + 8x × 3 + 5 × 5x + 5 × 3

= 40x² + 24x + 25x + 15

= 40x² + 49x + 15

So, area of rectangle is (40x² + 49x + 15) cm².