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 the 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 

∴ The area of the rectangle is (40x² + 49x + 15) sq. cm.