The length and breadth of rectangular park in the Ratio 8:5 a path 2m wide , running all around outside the park has an area of 640m². Find the dimensions of the park
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let the length and breadth be 8x and 5x
total length including path = 8x+4
total breadth including Path = 5x+4
area of path = total area - area of park
640 = (8x+4)*(5x+4) - 8x*5x
640=40x²+32x+20x+16-4x²
640=52x+16
-52x=16-640
-52x=624
x=12
length = 8*12=96m
breadth = 5*12= 60m
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sure and perfect
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