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Question

The area of a square field is 5184 m2. Find the area of a rectangular field, whose perimeter is equal to the perimeter of the square field and whose length is twice of its breadth.

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Solution

Given: area of square =5184m2

Side of square =5184=72m

The perimeter of square =4×72=288m

Let breadth of rectangle =xm

Length of rectangle =2xm

Now, perimeter of rectangle= Perimeter of a square

2(l+b)=288m

2(2x+x)=288

x=2886=48m

Length =2×48=96m, Breadth =48m

Therefore area of rectangle =l×b=96×48=4608m2

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