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

Answer:

Length of the rectangle = 27 m.

Area of the rectangle = 621 m²

Side of the square = 25 m.

Step-by-step explanation:

Given :

Square and perimeter have same perimeter that is 100 m. And the breadth of the rectangle is 2 m less than that of the side of the square.

As we know,

4(side) = Perimeter of square.

side = 100/4 m.

Side = 25 m.

We got that side of the square is 25 m.

So,

Breadth of rectangle :

Side of square - 2

25 - 2

= 23 m

Since breadth of rectangle is 23 m, we can find the length of the rectangle.

2(l + b) = 100

2(23 + l) = 100

46 + 2l = 100

2l = 54

l = 27 m.

Verification :

(27+23)2 = 100

50 * 2 = 100

100 = 100

LHS = RHS

Area of the rectangle :

= L * B

= 27 * 23

= 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