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A plot of rectangular land is divided into 3 sections, P.

Q and R to plant three types of vegetables. The perimeter
of the land is 170 m and the length of the land is 15 m
more than its width. Find the area of the largest plot for
planting the vegetables​

1 Answer

1 vote

Perimeter = 2(l+b)

170 = 2(x+x+15)

170 = 2(2x+15)

170 = 4x+30

140 = 4x

x = 35 meters

Area = LxB => 35x(35+15)

Area = 35x(50)

Area = 1750 meters

Area of the largest plot = 1750/3

=> 583.'3' meters

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