Question

Solve the problem:

The length of a rectangular room is 6 feet longer than twice the width. If the room's perimeter is 216 feet, what are the room's dimensions?

Answer 1

Let the width of the rectangular room is w feet. And length is 6 feet longer than twice the width , that is length is

`(2w+6) feet`

And the given perimeter is 216 feet.

Perimeter is the sum of all sides. That is

`w + 2w+6+w +2w+6 = 216`

Combining like terms

`6w +12 =216 \\ 6w = 204 \\ w = 34 feet`

So the width is 34 feet and length is 6 more than twice of 34, therefore length is

`(2*34+6)feet = 74 feet`