Math Word Problem

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.

  1. 0
asked by Vanessa
  1. The 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.

    posted by Anonymous

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Information: Juan plans to build a bookcase t store his paperback books, DVDs, and CDs. he has lumber that he will use for the sides and back of the bookcase. Juan plans for his bookcase to have five shelves including, the top and
  2. math

    Juan has measured the location of his bookcase and realized that he could only fit a bookcase with shelves that are 1 3/4 feet wide. what is the maximum number of shelves Juan could build for a new bookcase using 18 ft of lumber.
  3. math 6th grade

    Juan measured the location for the bookcase and realized that his shelves can be no more than 1 3/4 feet wide. a. What is the maximum number of shelves Juan could build for this new bookcase using the lumber he bought? b. How many
  4. math 6th grade

    Juan measured the location for the bookcase and realized that his shelves can be no more than 13 4 feet wide. a. What is the maximum number of shelves Juan could build for this new bookcase using the lumber he bought? b. How many
  5. math

    Juan measured the location for the bookcase and realized that his shelves can be no more than 1 3/4 feet wide.What is the maximum number of shelves Juan could build for this new bookcase using the lumber he bought? How many DVD
  6. English

    1. He is a social science teacher. 2. He is a SS teacher. 3. She is a home economics teacher. 4. She is a HE teacher. 5. She is a technical arts and homemaking teacher. 6. She is a TAH teacher. 7. She is a healthe education
  7. Math

    Information: Juan plans to build a bookcase t store his paperback books, DVDs, and CDs. he has lumber that he will use for the sides and back of the bookcase. Juan plans for his bookcase to have five shelves including, the top and
  8. English

    Can you please tell me if the following statements regarding school rules are correct? Thanks a lot. 1) You must: do your homework regularly, always bring your books to class, put up your hand if you want to ask your teacher a
  9. ALGEBRA

    A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 4 feet longer than the length of a shelf. If 20 feet of lumber is available for the entire unit (including the shelves, but NOT the back
  10. college algebra

    A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 4 feet longer than the length of a shelf. If 20 feet of lumber is available for the entire unit (including the shelves, but NOT the back

More Similar Questions