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.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

step-by-step explanation:

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