Question

the length of a rectangular building is 6 feet less than 3 times t he width. The perimeter is 120 feet. Find the width and the length of the building.

Answer 1

Call the width x. Note that the length is 3x-6. We know that double the width plus double the length is 120, so we write an equation:


`2(x)+2(3x-6)=120`

`2x+6x-12=120`

`8x-12=120`

`8x=132`

`x=16.5`
If x is 16.5, the width is 16.5, and the length is
`3 \cdot 16.5 - 6 = 43.5`.