Question

4. The bookcases at the library can be moved out of the way to provide an additional seating area for special events, as shown. What is the area of the additional seating area? Explain.

Answer 1

For the given figure:

The length of bookshelf = x + 3

The width of bookshelf = x

The space between every two bookshelves = 3 ft

So, the length of bookshelf space = 6 * x + 5 * 3 = 6x + 15

The width of bookshelf space = 2* ( x+ 3 ) + 2 = 2x + 8

The total area of bookshelf space = (6x + 15) * ( 2x + 8 )

The area of additional seating = total area - area of bookshelves =

`\begin{gathered} (6x+15)(2x+8)-(6x)(2x+8) \\ =(2x+8)\cdot(6x+15-6x) \\ =15(2x+8) \end{gathered}`

So, the answer will be The area of additional seating = 15(2x+8)