the perimeter of a rectangular field is 3/5 km if length of the field is twice its width; find the area of the rectangle in sq. m
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3/5km = 3/5*1000 m = 600 m
Now,
Perimeter = 2 (l+b) ; Let the Width be x. So the length is 2x.
So,
600 = 2 * ( x +2x )
600= 2(3x)
600 = 6x
So, x = 600/6 = 100 m; and the breadth is 2 *100 = 200 m
So, the Area = Length *Breadth
Therefore, Area = 100 * 200
= 20000 m square = (20000) / 1000 =20 km square
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