Posted by **Bridget** on Friday, September 27, 2013 at 11:50pm.

Lenth of a rectangle is 7ft longer than twice the width. If the rooms perimeter is 158ft, whay are the rooms dimensions?

Width

Length

- Dma 040 -
**Jai**, Saturday, September 28, 2013 at 12:07am
Represent the unknowns with variables:

Let x = width

Let 2x + 7 = length (according to the first statement)

Then we set up the equation. To set up, we need to recall that the perimeter of a rectangle is given by

P = 2L + 2W

where L is length and W is width.

We know that P = 158. Substituting,

158 = 2(2x + 7) + 2x

We solve for x:

158 = 4x + 14 + 2x

158 - 14 = 6x

144 = 6x

x = 144/6

x = 24 ft (width)

2x+7 = 55 ft (length)

hope this helps~ :3

## Answer this Question

## Related Questions

- Math - I would like to know if I got this problem correct. The perimeter of a ...
- Math - The perimeter of a rectangle is 42ft. The length is 7ft. longer than the ...
- basic geometric - 10. a rectangle has width the same as a side of a square whose...
- basic geometry - A rectangle has width the same asa a side of a square whose ...
- math - the length of a rectangle is 5 ft more than twice the width. a)if x ...
- math ,correction - Directions: Solve each of the following problems. Be sure to ...
- math - the perimeter of a rectangle is twice the sum of its length and its width...
- math - the perimeter of a rectangle is twice the sum of its length and its width...
- algebra , help - Can someone help me set up the equations thanks. Directions: ...
- math - The length of a rectangle is twice the width. If the length is increased ...

More Related Questions