Question

The area of a square field is 5184 m2 .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 rectangular field.

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Answer 1

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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=6288=48m

∴  Length  =2×48=96m, Breadth =48m

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

Answer 2

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