Question

The length of a rectangle is four times its width.

If the perimeter of the rectangle is 70 ft, find its length and width.
length: ft
Х
5 ?
width:
ft

Answer 1

• 
  `\sf{length=28~ft }`
• 
  `\sf{width=7~ft}`

Explanation:

The length of a rectangle is four times its width.

If the perimeter of the rectangle is 70 ft,

let the width =x

length =4width=4x

According to the question,

the perimeter of the rectangle is 70 ft

• 2(length+width)=perimeter
• 2(4x+x)=70
• 2(5x)=70
• 10x=70
• x=70/10
• x=7

Therefore:-

width =x=7ft

length =4x=4×7=28ft

Answer 2

Let width be x

• length=4x

ATQ

`\\ \sf\longmapsto 2(x+4x)=70`

`\\ \sf\longmapsto 5x=35`

`\\ \sf\longmapsto x=7`

• Width=7ft
• Length=7(4)=28ft