A rectangle is (8x + 5) cm long and (5x + 3) cm broad. Find its a… - Vidyadip

Question

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

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Answer

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.

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