12. A bookcase is to have four shelves, including the top. The height of the bookcase is to be 2 feet more than the width and only 20 feet of lumber is available. Use an equation to determine the width and height of the bookcase.

Question

12.	A bookcase is to have four shelves, including the top. The height of the bookcase is to be 2 feet more than the width and only 20 feet of lumber is available. Use an equation to determine the width and height of the bookcase.

apoorvk · Answer

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now let the width be x feet. so length equals x+2 feet.
so now width-wise, you need 4 slabs. so length required in widths is 4x.
you need 2 'lengths' as well. so, that equals 2(x+2)

now, this should add upto 20 feet, as our lumber is limited.

so, 4x+2(x+2)=20

solve to find 'x' and enjoy!!!