Question

The length of a rectangle is five times it’s width. If the perimeter of the rectangle is 60ft, find it’s area

Answer 1

125 ft²

Explanation:

Hello!

Let the length be called
`l` and the width be called
`w`.

If the length is 5 times the width, that means
`l = 5w`.

We also know that the perimeter is 60ft, or
`2(l + w) = 60`

Substitute
`5w` for
`l` and solve for the dimensions:

• 
  `2(l + w) = 60`
• 
  `2(5w + w) = 60`
• 
  `2(6w) = 60`
• 
  `6w = 30`
• 
  `w = 5`

That means
`l` is 5(5) or 25.

Solve for the area:

• 
  `A = lw`
• 
  `A = (25)(5)`
• 
  `A = 125`

The area is 125 ft².