the perimeter of a rectangular sheet is 160 cm.if its length is 54 cm,find its breadth
Answers
Step-by-step explanation:
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 !