a bookcase is to be constructed with three shelves as shown.the height of the bookcase is 4 feet longer than the length of a shelf and only 20ft of lumber is available.what should be the width and height of the bookcase.

Question

anonymous · Answer

how can i show you the picture

anonymous · Answer

how many total horizontal pieces are there? This matters.

anonymous · Answer

In othere words does is there just three shelves or 3 shelves plus top or three shelves plus top and bottom.

anonymous · Answer

4 if you include the top

anonymous · Answer

length of shelf = x
Needed total lengths of shelf = 3x (three shelves)
Needed total lengths (with top and bottom of bookcase)  =4x
Height of bookcase = x + 4
Needed total length for height (right and left of bookcase) = 2x +8
Total amount of wood needed = 6x +8 = 20 ft (amount you have)
Width of bookcase = x = 2 ft
Length of bookcase = x +4 = 6 ft

anonymous · Answer

x = length of shelf
x+4 = height 
2(x+4)+ 4x = 20
x=shelf width = 2 feet
height = 6 feet