Question

the are of square field is 4225m square find the area of a rectangle field , whose perimeter is equal to the perimeter of the square field and whose length is twice of its breadth ​

Answer 1

Given:-

Area of the square field=4225m²

Perimeter of the square field=perimeter of the rectangular field

To find:-

Area of the rectangular field

Solution:-

One side of the square field=

$\sqrt{4225}$

=65m

Perimeter of the square field=4(side)

=4(65)

=260m

Let the breadth of the rectangular field be x

Thus,length of the rectangular field=2x

Perimeter of the rectangular field=Perimeter of the square field=260m

Perimeter of rectangle=2(l+b)

2(x+2x)=260

6x=260

x=260/6

Thus,breadth of the rectangle=260/6m

Length=260/3m

Hence,area of the rectangle=l×b

260/6×260/3

=3755.5m²