Question

two plots of land have the same perimeter one is square of side 64 M and other is rectangular with rate at which plant has the greater area by how much​

Answer 1

We have Provided with two plot of land of same perimeter . One is a Square While the other one is a rectangle also We have given side of square and length of the rectangle 64 m and 70 m of a rectangle respectively . We need to find which has greater area and by how much and the breadth of the rectangle ?

*Perimeter of Square Plot*

Perimeter of Square = 4 * Side

⇒ 4 * 64

⇒ 256 m

*We Know that* ,

Perimeter of the rectangle = 2(Length + Breadth)

*According to the Question*

Perimeter of the rectangular plot is equal to the perimeter of square plot

*Substituting the Values in the formula*

⇒ 2 ( 70 + b ) = 256

⇒ 70 + b = (256/2)

⇒ 70 + b = 128

⇒ b = 128 - 70

⇒ b = 58 m

*Finding area of the rectangle*

Area of the rectangle = Length * Breadth

⇒ 70 * 58

⇒ 4060 m^2

*Finding area of the Square Plot*

Area of Square = Side * Side

⇒ 64 * 64

⇒ 4096 m^2

*Finding the area increased by how much*

Area of Square - Area of rectangle

⇒ 4096 - 4060

⇒ 36 m^2

Therefore , Area of square is Greater than area of the rectangle by 36 m^2