Question

24b) A rectangle and a square have same perimeter 100 M. Find the side of the square. If the rectangle has a
breadth 2M less than that of the square, find breadth length and area of the rectangle.​

Answer 1

Explanation:

Solutions :-

Given :

Perimeter of rectangle = Perimeter of Square = 100 m

Find the side of the square :-

Perimeter of Square = 4 × side

=> 100 m = 4 × Side

=> Side = 100/4 = 25 m

Breadth of rectangle = (side of square - 2) m

= (25 - 2) m = 23 m

Let the length of rectangle be x

Find the length of rectangle :-

Perimeter of rectangle = 2(Length +Breadth)

=> 100 = 2(x + 23)

=> 100/2 = x + 23

=> 50 - 23 = x = 27 m

Find the area of rectangle :-

Area of rectangle = (Length × Breadth) sq. units

= (27 × 23) m²

= 621 m²

Hence,

Length of Rectangle = 27 m

Area of rectangle = 621 m²

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