Question

two field one square and the other rectangular have the same perimeter. The square is of side 60m while the breath of the rectangle is 40 m. which field has the greatest area and by how much?​

Answer 1

Answer:

The  square field has greater area by 400$m^{2}$

Step-by-step explanation:

It is said that the square and rectangukar fields have same perimeter.

the perimeter of the square field is given by 4a where a is the side of the square and the perimeter of the rectangular field is given by 2(l+b) where l and b are length and breadth respectively.

The side of the square,a =60m

The perimeter of square=60 x 4=240m

breadth of rectangle,b=40m

perimeter of rectangle=2(l+40)

Equating the perimeters,

2(l+40)=240

l+40=120

l=120-40=80m

The length of the rectangle field =80m

The area of square=$a^{2} =(60)^{2} =3600m^{2}$

The area of rectangle field=l.b=80.40=3200$m^{2}$

The area of the square field is greater by 400$m^{2}$