7.
The area of a square field is 5184 m2. A rectangular field, whose length is twice its
breadth, has its perimeter equal to the perimeter of the square field. Find the area
of the rectangular field.
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Area of square field = 5184m^2
Square root of 5184 = 72m
Therefore perimeter of square field = 4 * 72 = 288m
Rectangular field.
Breadth = x
Length = 2x
Perimeter = 2*length + 2*breadth
= 2*2x + 2x
= 6x
Perimeter of rect field = Perimeter of square field.
6x = 288m
x = 48m
Breadth of rectangular field = 48m
Length of rectangular field = 96m
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