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 rectangular field
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Let the side of square be a.
Let the length and breath of the rectangular field be l and b.
l=2b .......(1)
Area of square field=5184m^2
a^2=5184
a=√5184
a=72m
Perimeter of square field=Perimeter of rectangular field
4a=2(l+b)
2a=l+b
From (1)
2×72=2b+b
144=3b
b=48 m
l=2b
l=2×48
l=96m
Area of rectangular field=l×b
=96×48
Area of rectangular field=4608m^2
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