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6. A rectangular lawn measuring 50m by 36m is surrounded externally by a path which is 2m wide. Find the area of the path also calculate the cost of leveling of the path at Rs.20 per m2 |
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Answer» he length of a rectangular lawn is 50mThe breadth of the rectangular lawn is 36mIt is surrounded EXTERNALLY by a PATH which is 2m wide.To find:The area of the pathAnd the cost of levelling the path at Rs 20 per m sq.So,According to the question, image is attachedSo,PQRS is the rectangle with length 50m and breadth 36mArea of the rectangle PQRS = (l*b) unit sq.Area of the rectangle PQRS = (50*36) m sq.Area of the rectangle PQRS = 1800 m sq.Now,ABCD is the rectangle with length (50+2+2) = 54m and breadth (36+2+2) = 40m, by adding the 2m wide path.Area of the rectangle ABCD = (l*b) unit sq.Area of the rectangle ABCD = (54*40) m sq.Area of the rectangle ABCD = 2160 m sq.So,Area of the 2m wide path = [area of rectangle ABCD - Area of rectangle PQRS]Area of 2m wide path = 2160 - 1800Area of 2m wide path = 360 m sq.Now,The cost of levelling 1 m sq = Rs 20Then,Cost of levelling 360 m sq = 20*360 = Rs.7200HenceThe cost of levelling the 2m wide park is 7200 |
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