A nursery school play ground is 160 m long and 80 m wide. In it 80 m �

1.	A nursery school play ground is 160 m long and 80 m wide. In it 80 m × 80 m is kept for swings and in the remaining portion, there is 1.5 m wide path parallel to its width and parallel to its remaining length as shown in Fig.. The remaining area is covered by grass. Find the area covered by grass.
Answer» Area of school playground is 160 m × 80 m = 12800 m² Area kept for swings = 80 m × 80 m = 6400 m² Area of path parallel to the width of playground = 80 m × 1.5 m = 120 m² Area of path parallel to the remaining length of playground = 80 m × 1.5 m = 120 m². Area common to both paths = 1.5 m × 1.5 m = 2.25 m². [since it is taken twice for measuerment it is to be subtracted from the area of paths] Total area covered by both the paths = (120 + 120 – 2.25) m² = 237.75 m². Area covered by grass = Area of school playground – (Area kept for swings + Area covered by paths) = 12800 m² – [ 6400 + 237.75] m² = (12800 – 6637.75) m² = 6162.25 m².

A nursery school play ground is 160 m long and 80 m wide. In it 80 m × 80 m is kept for swings and in the remaining portion, there is 1.5 m wide path parallel to its width and parallel to its remaining length as shown in Fig.. The remaining area is covered by grass. Find the area covered by grass.

Answer»

Area of school playground is 160 m × 80 m = 12800 m²

Area kept for swings = 80 m × 80 m = 6400 m²

Area of path parallel to the width of playground = 80 m × 1.5 m = 120 m²

Area of path parallel to the remaining length of playground = 80 m × 1.5 m = 120 m².

Area common to both paths = 1.5 m × 1.5 m = 2.25 m². [since it is taken twice for measuerment it is to be subtracted from the area of paths]

Total area covered by both the paths

= (120 + 120 – 2.25) m²

= 237.75 m².

Area covered by grass = Area of school playground – (Area kept for swings + Area covered by paths)

= 12800 m² – [ 6400 + 237.75] m²

= (12800 – 6637.75) m²

= 6162.25 m².