Question

a square and a rectangle have the same perimeter the dimension of rectangle field are 120*90 find which has greater area

Answer 1

here perimeter of the rectangle =>2(120+90)
=> 2*210=>420
therefore perimeter of square => 420
=> 4s=>420. => s=>420/4. =>105
now area of rectangle=> 120*90=>10800
area of square => 105*105=>11025
therefore the area of square is more

Answer 2

Length of rectangle field= 120
Breath of rectangle field= 90

Perimeter of rectangle= 2(l+b)

=2(120+90)

=2(210)

=420

Perimeter of Square= side×4

420= side×4

side= 420/4

side= 105

Area of square= (side)^2

=(105)^2

=11025

Area of rectangular field= l×b

=120*90

=10800

Therefore the area of the square is greater than the area of the rectangular field.

Hope this helps!