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A length and breadth of a rectangular Park in the ratio of 5:2 A 2.5 wide path running around the outside of the park has an area of 305 m2 find the

dimensions of the park


If the area is 305 sq m then,

let the length of the rectangular park be 5x
∴ breadth will be 2x
so area= l*b
width of the park all around the park=2.5m
∴lenght and breadth including path (5x+2.5 +2.5)m=(5x+5) and breadth of rectangular park=(2x+2.5+2.5)=(2x+5)
thus, area of the park=[(5x+2)(2x+5)-10x²]m²=(35x+25)m²
it is given that 35x +25 =305
thus the lenght of th park=5*8=40m and breadth of the park=2*8=16m

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