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A square grassy plot is of side 100 metre.It has a gravel path 10 metres wide all round it on the inside. Find the area of path.
2 Answers
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Outer side of the square grassy plot = 100 Outer area of the square grassy plot = side x side Outer area of the square grassy plot = 100 x 100= 10000m2 Width of the gravel path= 10m Inner side of the square grassy plot= 100-(2 x 10) = 100-20=80 Inner area of square grassy plot= 80 x 80 = 6400m2 Area of the gravel path = Outer area of the grassy plot - Inner area of the grassy plot Area of the gravel path = 10000-6400 Area of the gravel path= 3600m2 Hence,the area of the path= 3600m2

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Solution:

Area of path = Area of grassy plot - Area of inner square of grassy plot

$= (100)^{2} - (80)^{2}$

= 3600

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