A nursery school playground is 160 m long and 80 m wide. In it 80 m × 80 m is kept for swings and in the remaining portion, there are 1.5 m wide path parallel to its width and parallel to its remaining length as shown in Figure. The remaining area is covered by grass. Find the area covered by grass.
Verified Answer
Area of the playground = l × b = 160 m × 80 m = 12800 m2
Area left for swings = l × b = 80m × 80m = 6400 m2
Area of the remaining portion = 12800 m2 – 6400 m2 = 6400 m2
Area of the vertical road = 80 m × 1.5 m = 120 m2
Area of the horizontal road = 80 m × 1.5 m = 120 m2
Area of the common portion = 1.5 × 1.5 = 2.25 m2
Area of the two roads = 120 m2 + 120 m2 – 2.25 m2 = (240 – 2.25) m2 = 237.75 m2
Area of the portion to be planted by grass = 6400 m2 – 237.75 m2 = 6162.25 m2
Hence, the required area = 6162.25 m2.