Question

Two plots of land , one square and other rectangular have same perimeter if the rectangular plot is of size 90 m by 70m which plot has the greater area by how much?

Answer 1

Answer:

Step-by-step explanation:

One plot is square and the other one is rectangle

And the two plot has same perimeter

Now the length of the rectangular plot =90m

And the breadth of the rectangular plot

= 70 m

So the perimeter of the rectangular plot= 2×(90+70) m = 2×160 m = 320m

And the area of the rectangular plot= 90×70

= 6300 m^2

Now , as the perimeter of the square and rectangular plot is equal ,

Then the perimeter of the square plot = 320m

So the length of the sides of the square plot = 320÷4 = 80 m

And the area of the square plot= length of the side ×length of the side =80×80 m^2

= 6400 m^2

So the area of the square plot is greater than the area of the rectangular plot

And the square plot has 100 m^2 greater area than the rectangular plot