# The area of a square field is 5184m2. 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 rectangle.

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by sarthi1

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by sarthi1

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the area of square is=5184m²

s×s=5184

s²=5184

s=√5184

s=72

according to problem,

l=2x

b=x

we know that,

perimeter of square=perimeter of rectangle

4s=2(l+b)

4×72=2(2x+x)

288=6x

x=288/6

x=48

from problem,

l=2x

=2×48

=96

b=x

=48

therefore length is 96

breadth is 48

area of rectangle = l × b

= 96 × 48

=4608 m²