Question

a rectangle and a square have the same perimeter of 100 m.find the side of the square.if the rectangle has a breadth 2 m less than that of the square.find the length and area of the rectangle

Answer 1

perimeter of square =4a=100

a=100/4=25

then the breath of rectangle is =25-2=23

so the length is =25+2=27(for keeping the perimeter constant)

then the area of the rectangle is=27×23=621sq. m.

:)

Answer 2

❥ Given Data :

• Perimeter of Rectangle = 100 m
• Perimeter of Square = 100 m
• Rectangle has a breadth 2 m less than that  of the Square

❥ To Find :

• Side of the Square
• Length of the Rectangle
• Area of the Rectangle

❥ Answer :

• Length of Rectangle = 27 m
• Area of Rectangle = 621 m²

❥ Step by Step Explanation :

Perimeter of Rectangle = Perimeter of Square = 100 m

✿ First Let's Find Side of Square

➸ Perimeter of Square = 100 m

➸ 4 × Side = 100 m

➸ Side of Square = 25 m

✿ Now Let's Find Breadth of Rectangle

➸ Breadth of Rectangle = Side of Square - 2 m

➸ Breadth of Rectangle = 25 m - 2 m

➸ Breadth of Rectangle = 23 m

✿ Now Let's Find Length of Rectangle

➸ Perimeter of Rectangle = 2 × (Length + Breadth)

➸ 100 m = 2 × (Length + Breadth)

➸ 100 m = 2 × (Length + 23 m)

➸ 100 m = 2 × (Length) + 46 m

➸ 100 m - 46 m = 2 × (Length)

➸ 54 m = 2 × (Length)

➸ Length of Rectangle = 27 m

✿ Now Let's Find Area of Rectangle

➸ Area of Rectangle = Length × Breadth

➸ Area of Rectangle = 27 m × 23 m

➸ Area of Rectangle = 27 × 23 m²

➸ Area of Rectangle = 621 m²