Question

ا
The area of a square field is 49 761 m². A
ructangular field whose length is five times
its breadth had its perimeter eixual that of a
square field. Find the area of a rectangular
field.​

Answer 1

Answer:

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=4608m2

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