2018 AMC 8 Problems/Problem 9

Problem 9

Tyler is tiling the floor of his 12 foot by 16 foot living room. He plans to place one-foot by one-foot square tiles to form a border along the edges of the room and to fill in the rest of the floor with two-foot by two-foot square tiles. How many tiles will he use?

Solution

He will place $(12\cdot2)+(14\cdot2)=52$ tiles around the border. Now, we have $10\cdot14$ inner rectangle, so $\frac{10\cdot14}{4}=35$ tiles. Thus, the answer is $52+35=\boxed{87}, \textbf{(B)}$

$\textbf{(A) }48\qquad\textbf{(B) }87\qquad\textbf{(C) }91\qquad\textbf{(D) }96\qquad \textbf{(E) }120$

2018 AMC 8 (Problems • Answer Key • Resources)
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2018 AMC 8 Problems/Problem 9

Problem 9

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