Question

a square lawnhas a 3m wide path surrounding if the area of the path is 156msquare.find the area of the lawn

Answer 1

Let the side of the lawn excluding the path be 'x' m

Width of the path = 3m

. '. Side of the lawn including the path = (x+6) m

. '. Area of the path= area of the lawn including the path-area of the lawn excluding the path

. '. (x+6) ²- (x) ²= 156

. '. x²+12x+36-x²=156

12x+36=156

. '. 12x= 156-36

12x=120

x=120/12

x=10m

. '. Side of the lawn = 10m

Area of the lawn= (10) ²=100m²

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