Posted by **Vanessa** on Tuesday, August 21, 2007 at 9:58pm.

I asked my teacher, and my teacher said it had 3 shelves..

A bookcase is to be constructed. The height of the bookcase is 4 feet longer than the lenght of a shelf. If 20 feet of lumber is available for the entire unit (including the shelves, but NOT the back of the bookcase), find the length and height of the unit.

Could you please check my work:

p=20

l=2w+4

p=2l+2w

20=2(2w+4)+2w

20=4w+8+2w

20=6w+8

w=2

2(2)+4

4+4=8

L=8

It seems to me you have to specify how many shelves are required. Are you assuming two?

Why is l = 2w + 4?

Is l the length of the bookshelf?

The equation p = 20 = 2l + 2w does not allow any lumber for shelves.

The length of a shelf is w. If w = 2 and l = 8, the requirement that l = w + 4 is not met.

## Answer This Question

## Related Questions

- ALGEBRA - A bookcase is to be constructed as shown in the figure below. The ...
- college algebra - A bookcase is to be constructed as shown in the figure below. ...
- Math - Information: Juan plans to build a bookcase t store his paperback books, ...
- math - Juan has measured the location of his bookcase and realized that he could...
- math - Juan measured the location for the bookcase and realized that his shelves...
- math - Information:Juan plans to bulid a bookcase to store his paperback books ...
- Math - Julio is making a bookcase with 5 shelves. Each shelf is to be 3/4 yard ...
- Math - You borrow bookcases like the one shown to display 943 books at a book ...
- Math - Marcus wants to put a 6 1/2 foot bookcase against a 12 1/4 foot long wall...
- math - marcus wants to put a 6 1/2 foot bookcase against a 12 1/4 foot wall.if ...

More Related Questions