Wednesday

December 17, 2014

December 17, 2014

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

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.

- Math Word Problem -
**Anonymous**, Thursday, July 3, 2014 at 12:05amThe length of a bookcase is to be 3 times the height. If 30feet of lumber is available for the entire unit, find the length and the height of the bookcase.

**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 - marcus wants to put a 6 1/2 foot bookcase against a 12 1/4 foot wall.if ...

Math - Raul did an inventory of all the books in collection by subject. He ...

math - John is making a bookcase that is 72 3/8inches tall, he wants 5 equally ...

3rd grade math - There are 30 books in a bookcase. The books in the bookcase are...

math - A plan for a bookcase requires three pieces of lumber 3 ft 5 in each long...

Math - Practice Dividing by 9 A Jeweler placed 20 necklaces on 5 different ...