Respuesta :
Answer:
width: 12in length: 18in
Step-by-step explanation:
x: width y: length
(using diagram)(in ft)
3x+2y=6 y>x
y=1.5 x=1
1ft=12 in 1.5 ft =18in
hope this helps, will be confusing without diagram!
The dimensions of the bookshelf to maximize the volume and use all of the 6-ft board are w = 18 inches and l = 12 inches.
Given
James has a 6-ft board that is 24 in. wide.
He wants to cut it into five pieces to make a small bookshelf with two shelves.
The front and back will not be covered.
Let the length of the bookshelf be l and the width of the bookshelf be w.
[tex]\rm 3l + 2w = 6[/tex]
When the value of l = 1.5.
[tex]\rm 3l + 2w = 6\\\\3(1)+2w=6\\\\3+2w=6\\\\2w=6-3\\\\2w=3\\\\w =\dfrac{3}{2}\\\\w=1.5[/tex]
Convert into inches
[tex]\rm 1 \ feet =12 \ inches\\\\1.5 \ feet= 18 \ inches[/tex]
Hence, the dimensions of the bookshelf to maximize the volume and use all of the 6-ft board are w = 18 inches and l = 12 inches.
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