In a restaurant, the daily menu is mounted on wallboard. The printed region with today's entrees includes $216$ square inches of text. If there are two-inch margins on the sides and three-inch margins at the bottom and the top, what are the dimensions of the smallest piece of wallboard that can be used for the menu? $\newline$ Choose $1$ answer: $\newline$ (A) $12 \prime \prime \times 20 \prime \prime$ $\newline$ (B) $12 \prime \prime \times 24 \prime \prime$ $\newline$ (C) $16 \prime \prime \times 20 \prime \prime$ $\newline$ (D) $16 \prime \prime \times 24 \prime \prime$ $\newline$ (E) None of these

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Grade 7

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Q. In a restaurant, the daily menu is mounted on wallboard. The printed region with today's entrees includes

216

square inches of text. If there are two-inch margins on the sides and three-inch margins at the bottom and the top, what are the dimensions of the smallest piece of wallboard that can be used for the menu?

\newline

Choose

1

answer:

\newline

(A)

12 \prime \prime \times 20 \prime \prime

\newline

(B)

12 \prime \prime \times 24 \prime \prime

\newline

(C)

16 \prime \prime \times 20 \prime \prime

\newline

(D)

16 \prime \prime \times 24 \prime \prime

\newline

(E) None of these

Calculate Margins Width: Calculate the total width of the margins on the sides. There are two-inch margins on each side, so that's $2$ inches + $2$ inches = $4$ inches total for both sides.
Calculate Margins Height: Calculate the total height of the margins at the top and bottom. There are three-inch margins at the top and bottom, so that's $3$ inches + $3$ inches = $6$ inches total for both top and bottom.
Find Total Wallboard Width: Add the width of the margins to the width of the text area to find the total width of the wallboard. The text area is $216$ square inches, but we don't know the width yet, so we can't add the margins to the width. We need to find the dimensions of the text area first.