Q115 of 131 Page 226

A school playground is divided by a 2 m wide path which is parallel to the width of the playground, and a 3 m wide path which is parallel to the length of the ground (Fig. 9.60). If the length and width of the playground are 120 m and 80 m respectively, find the area of the remaining playground.


Total area = 120 × 80 = 9,600 m2


Area of the vertical road lying above the horizontal road = 77 × 2 = 154 m2


Area of the horizontal road = 120 × 3 = 360 m2


Area of the remaining playground = 9,600 – (154 + 360)


= 9086 m2


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