the area of a square field is 5184 metre square a rectangular field whose length is twice its breadth has it parameter equal to the perimeter of the square field find the area of the rectangular field
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Area of square=side²
5184m²=side²
√5184=side
72m=side of square
perimeter of square=4×side=4×72=288m
let breadth of rect. be x then length =2x
given,
perimeter of square=perimeter of rectangle
288=2(l+b)
288=2(2x+x)
288/2=3x
144=3x
144/3=x
48=x
∵breadth of rect.=48m nd length =96m
area of rectangle=l×b=96×48=4608m²
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