the perimeter of a square field of 10m is equal to the perimeter of the rectangular field of width 4m . Find the area of the rectangular field.
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Answer:
Given: area of square =5184m
2
∴ Side of square =
5184
=72m
The perimeter of square =4×72=288m
Let the breadth of rectangle =xm
∴ Length of rectangle =2xm
Now, the perimeter of rectangle= Perimeter of a square
⇒2(l+b)=288m
⇒2(2x+x)=288
⇒x=
6
288
=48m
∴ Length =2×48=96m, Breadth =48m
Therefore area of rectangle =l×b=96×48=4608m
2
Step-by-step explanation:
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