the area of a square field is 5184 metre square a rectangular field whose length is twice its breadth has its perimeter is equal to the perimeter of the square field find the area of the rectangular field
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Let, the breadth of the rectangular field be, x
Length = (x*2)
= 2x
By condition,
2(2x+x) = 4(√5184)
or, 3x = (4*72)/2
or, x = (2*72)/3
or, x = (2*24)
or, x = 48
So, the breadth of the rectangular field is 48 m
Length = (48*2) m
= 96 m
So, the area of the rectangular field is =(96*48) m²
= 4608 m²
(Ans): 4608 m²
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