Question

(3) Perimeter of a rectangle is 24 meters. If length of a rectangle is 2 meters more than its

breadth, then find the breadth of a rectangle.​

Answer 1

Step-by-step explanation:

Let breadth be xm

Length = x+2m

Perimeter = 24m

perimeter of rectangle = 2(l+b)

24 = 2( x+2+x)

24 = 2(2x+2)

24 = 4x+4

24 - 4 = 4x

20 = 4x

4x = 20

x = 20/4

x = 5

Breadth = 5m

Length = 5+2 = 7m

Answer 2

Given :

• Perimeter of Rectangle = 24m
• Length of a rectangle is 2m more than its breadth.

To Find :

• Length of the Rectangle
• Breadth of the Rectangle

Solution :

⟾ Let the Breadth of Rectangle be x

⟾ Then Length of Rectangle will be x + 2

According to the Question :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ 24 = 2 ( x + 2 + x )

➞ 24/2 = x + 2 + x

➞ 12 = 2x + 2

➞ 12 - 2 = 2x

➞ 10 = 2x

➞ 10/2 = x

➞ 5 = x

________________

Verification :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ Perimeter = 2 (x + 2 + x)

➞ Perimeter = 2 (5 + 2 + 5)

➞ Perimeter = 2 (7 + 5)

➞ Perimeter = 2 × 12

➞ 24 = 24

Hence Verified

________________

Therefore :

• Length = x + 2 = 5 + 2 = 7m
• Breadth = x = 5m

________________

★ Additional Info :

Formulas Related to Rectangle:

• Perimeter of Rectangle = 2( l + b)
• Area = Length × Breadth
• Length = Area / Breadth
• Breadth = Area / Length
• Diagonal = √(l)² + (b)²

________________