Question

a square lawn is surrounded by a path 2.5 M wide if the area of the path is 165 m square find the area of the lawn

Answer 1

Let the side of a square be x meter.

A/Q, (x + 5 )² - x² = 165

⇒ x² + 25 + 10x - x² = 165

⇒ 10 x = 140

∴ x = 14 m

Area of lawn = 14² = 196 m²