The area of a rectangular field is 400 meters Less than that of a square field.
The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
The dimensions of the rectangular field is 70 by 30 meters
The area of the rectangle = length × Width
= 70 x 30
= 2100 m sq.
The perimeter of the rectangle = 2( L + B)
= 2( 70 + 30)
= 200 m
It is given that a square field has the same perimeter.
The perimeter of the square = 4( side)
200 = 4 x side
side = 200/ 4
side = 50 m
Therefore, the area of the square = side x side
= 50 x 50
= 2500 m sq.
The difference between both the areas are;
= 2500 - 2100
= 400
Hence, the area of a rectangular field is 400 meters Less than that of a square field.
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