Question

The length of a rectangle is six more than triple the width. If the perimeter is 156 inches, find the

dimensions.

Answer 1

Width = 18 inches

Length = 60 inches

Explanation:

Hello!

Perimeter =
`2(l + w)`

Length =
`3w + 6`

Plug in the length value and perimeter into the perimeter equation to find the dimensions.

• 
  `P = 2(l + w)`
• 
  `156 = 2(3w + 6 + w)`
• 
  `156 = 2(4w + 6)`
• 
  `156 = 8w + 12`
• 
  `144 = 8w`
• 
  `18 = w`

Now find the length:

• 
  `L = 3w + 6`
• 
  `L = 3(18) + 6`
• 
  `L = 54 + 6`
• 
  `L = 60`

The width is 18, and the length is 60.