Question

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 1

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.