Question

The length of a rectangle is 3 times the width. The perimeter is 65.6 cm. How do you find the width?

Answer 1

Width is `8.2` centimeters, length is `24.6` centimeters.

Explanation:

Let `l = "length"`, and `w="width"`

The two equations are:
`l=3w`
`2l+2w=65.6`

Use substitution - substitute `l=3w` into the second equation to find w:
`2(3w)+2w=65.6`
`6w+2w=65.6`
`8w=65.6`
`w=8.2`

Use substitution again - substitute `w=8.2` into the first equation to find l:
`l=3(8.2)`
`l=24.6`