Question

A pavement 2 metres wide runs around a square ground. The total area of the ground and the pavement is 1225 square metres. What is the area of the ground?

Answer 1

Let the side of the square ground be x m.

Width of the pavement = 2 m

As the pavement is made around all the sides of the square ground, 4 m (= 2 m + 2 m) will be added to each side of the square ground.

∴ Side of the square ground with pavement = (x + 4) m

Total area of the ground and pavement = 1225 m²

As the square garden with pavement is also square in shape, (x + 4)² = 1225

⇒ x + 4 =

⇒ x + 4 = 35 m

⇒ x = (35 − 4) m

⇒ x = 31 m

∴ Side of the square ground = 31 m

Area of the square ground = (31 m)² = 961 m²