two plot of land. the same perimeter one square of side is 64cm and the other is a rectangle of length is 70cm find a breadth of a rectangular plot. which plot has greater area and by how much?
Answers
Answer:
*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
length of rectangular plot = 70m
breadth = b
2(70+b) = 256
⇒ 70+b = 256/2 = 128
⇒ b = 128 - 70
⇒ b = 58m