An architect is designing a new library. The library’s floor plan is a rectangle divided into a bookshelf space with bookshelves, and a reading space with a rug and chairs. Each bookshelf is x ft wide and x + 3 ft long. The bookshelves are 3 ft from each other. The walkway between the two rows of bookshelves is 2 ft wide. Write the dimensions and area as polynomials in standard form.

What are the dimensions of the bookshelf space?

length = __ x + __ ft

width = __ x + __ ft

What is the area of the bookshelf space?

area = __ x2 + __ x + __ ft2

Part B
Explain how you found the dimensions and the area.