The area of a square field is 5184 m^2 . 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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4
Answer:
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Step-by-step explanation:
Given: area of square =5184m
2
∴ 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=
6
288
=48m
∴ Length =2×48=96m, Breadth =48m
Therefore area of rectangle =l×b=96×48=4608m
2
Answered by
3
Answer:
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 = 2 xm
Now, perimeter of rectangle
= Perimeter of a square
⇒2(l+b) = 288m
⇒ 2 (2x+x) = 288
⇒x = 228/6 = 48m
∴ Length = 2 × 48 =96m, Breadth = 48m
Therefore area of rectangle
= l×b = 96 × 48 = 4608²
Step-by-step explanation:
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