Question

17. The perimeter of a rectangular sheet is 40 feet. If the
length of the sheet is three times the breadth, find its
dimensions​

Answer 1

Answer:

Explanation:

Perimeter of Rectangular Sheet is 40feet.

Length of Sheet is three times the Breadth.

Find the Dimensions.

⋆ Let the Breadth be n feet

⋆ Length = Three Times of Breadth

» Length = 3 × n feet

» Length = 3n feet

• Now According to Question ;

⇒ Perimeter of Rectangle = 2 × (Length + Breadth)

Plugging the Values

⇒ 40 = 2 × ( 3n + n )

⇒ 40 = 2 × 4n

⇒ 40 = 8n

Dividing Both term by 8

⇒ n = 5

◑ Length = 3n = (3 × 5) = 15 feet

◑ Breadth = n = 5 feet

჻ Dimensions of Rectangular Sheet is 15 feet long and 5 feet wide.

Answer 2

Explanation:

Given,

perimeter of rectangle=40 feet

let the breadth be x,. length=breadth×3

As per problem,

2(l+b)= 40

2(3x+x)=40

• 2(4x)=40
• 4x=40/2
• 4x=20
• x=20/4
• x=5
• therefore,breadth =5feet,length=3×5=15feet