Question

the perimeter of a rectangular sheet is 160 CM if its length is 54 cm find its breadth​

Answer 1

Answer:

ans = 52

Step-by-step explanation:

let's breadth be 'x'

2(l+b)

2(54+x)

so, x = 160–108

and ====== 52

Answer 2

• The breadth of the rectangular sheet = 26 cm.

Diagram :

$\setlength{\unitlength}{17mm}\begin{picture}(4,4)\put(2,1){\line(0,1){1.6}}\put(2,1){\line(1,0){2.5}}\put(4.5,1.0){\line(-,13){1.6}}\put(2,2.6){\line(1,0){2.5}}\put(2.2,1.7){\bf{Perimeter = 160 cm}}\put(2.7,0.6){\bf{l = 54 cm}}\put(1.2,1.9){\bf{b = x}}\put(1.1,1.5){\bf{(26 cm)}}\end{picture}$

Given :

• The perimeter of the rectanglular sheet = 160 cm.
• The length of the rectangular sheet = 54 cm.

To Find :

• The breadth of the rectangular sheet.

Solution :

Let,

The breadth of the rectangular sheet be x.

Given,

The perimeter of the rectangular sheet = 160 cm.

The length of the rectangular sheet = 54 cm.

We know that,

Perimeter of the rectangle = 2 ( l + b )

Where,

• l = length.
• b = breadth.

⇒ 160 cm = 2 ( 54 cm + x )

⇒ 160 / 2 cm = 54 cm + x

⇒ 80 cm = 54 cm + x

⇒ 80 cm – 54 cm = x

⇒ 26 cm = x

∴ b = 26 cm

Hence,

The breadth of the rectangular sheet is 26 cm.

Verification :

Given,

The perimeter of the rectangular sheet = 160 cm.

We know that,

Perimeter of the rectangle = 2 ( l + b )

Where,

• l = length.
• b = breadth.

We have,

The length of the rectangular sheet (l) = 54 cm.

The breadth of the rectangular sheet (b) = 26 cm.

⇒ 2 ( 54 cm + 26 cm ) = 160 cm

⇒ 2 ( 80 cm ) = 160 cm

⇒ 2 × 80 cm = 160 cm

⇒ 160 cm = 160 cm

Hence Verified !