As a facility planner, you are calculating the total floor area of a new warehouse section. The length and width are represented by the expressions $(x + 8)$ and $(x + 9)$ in meters. To enter the total area into the inventory management software, you must expand the product $(x + 8)(x + 9)$ using the distributive property. Arrange the steps of this algebraic process in the correct chronological order.

A facility manager is expanding a storage unit. The new floor dimensions are represented by the binomials $(x + 8)$ and $(x + 9)$ meters. According to the rules of the distributive property, which simplified trinomial represents the total area of the storage unit?

A project manager is calculating the area for a rectangular storage zone with dimensions $(x + 8)$ feet and $(x + 9)$ feet. To determine the total area, the manager applies the distributive property. Match each mathematical expression from the expansion steps to its corresponding description.

A logistics coordinator is calculating the area of a shipping bay with dimensions $(x + 8)$ feet and $(x + 9)$ feet. True or False: When expanding the product $(x + 8)(x + 9)$ using the distributive property, the constant term in the final simplified trinomial is ${}72$.

Simplifying the Area Expression in Facility Planning

An urban agriculture coordinator is planning the layout of a community garden. The rectangular plot has dimensions of $(x + 8)$ feet by $(x + 9)$ feet. To find the total area in square feet, they expand the product $(x + 8)(x + 9)$ using the distributive property. First, they distribute to get $x(x + 9) + 8(x + 9)$. Next, they distribute again to get $x^2 + 9x + 8x + 72$. When combining the two middle terms to find the final simplified trinomial expression $x^2 + Bx + 72$, what is the integer value of the coefficient $B$?

Teaching the Distributive Property in Peer Tutoring