Question

A bookcase is to have 4 shelves including the top as pictured below.

Answer 1

W

Step-by-step explanation:

Let h represent the height of the bookcase.

Let w represent the width of the bookcase.

From the information given in the question, we can go ahead and set up the below equations;

`\begin{gathered} 4w+2h=26\ldots\ldots\text{Equation 1} \\ w=4h-16\ldots\ldots\text{.}\mathrm{}\text{Equation 2} \end{gathered}`

Let's put Equation 2 into Equation 1 and solve for h;

`\begin{gathered} 4(4h-16)+2h=26 \\ 16h-64+2h=26 \\ 18h=26+64 \\ 18h=90 \\ h=(90)/(18) \\ h=5\text{ f}eet \end{gathered}`

We can now solve for w by substituting h = 5 into Equation 2;

`w=4(5)-16=20-16=4\text{ f}eet`