Question

Two plots of land have the same perimeter . One is a square of side 50 m , while the other is a rectangle whose length is 60 m . Which plot has the greater area and by how much ??​

Answer 1

1 Side of the square = 50 m

Perimeter of the square = 50×4 = 200

Two plots of land have the same perimeter

So the perimeter of rectangle = 200

Length of the rectangle = 60

Breadth = (200-(2×60))/2

= (200-120)/2

= 80/2

= 40

Area of the rectangle = 60×40 = 2400m^2

Area of the square = 50×50 = 2500m^2

So, the square plot has the greatest area

It has 100m^2 more area than the rectangular plot

.... Hope this will help...