Difference between revisions of "2018 AMC 8 Problems/Problem 9"
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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? | 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? | ||
− | He will place <math>(12\cdot2)+(14\cdot2)=52</math> tiles around the border. Now, we have <math>10\cdot14</math> inner rectangle, so <math>\frac{10\cdot14}{4}=35</math> tiles. Thus, the answer is <math>52+35=\boxed{87}, | + | He will place <math>(12\cdot2)+(14\cdot2)=52</math> tiles around the border. Now, we have <math>10\cdot14</math> inner rectangle, so <math>\frac{10\cdot14}{4}=35</math> tiles. Thus, the answer is <math>52+35=\boxed{87}, \textbf{(B)}</math> |
− | \textbf{(A) }48\qquad\textbf{(B) }87\qquad\textbf{(C) }91\qquad\textbf{(D) }96\qquad \textbf{(E) }120 | + | \textbf{(A) }48\qquad\textbf{(B) }87\qquad\textbf{(C) }91\qquad\textbf{(D) }96\qquad \textbf{(E) }120$ |
{{AMC8 box|year=2018|num-b=8|num-a=10}} | {{AMC8 box|year=2018|num-b=8|num-a=10}} |
Revision as of 12:56, 21 November 2018
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?
He will place tiles around the border. Now, we have inner rectangle, so tiles. Thus, the answer is
\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) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
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All AJHSME/AMC 8 Problems and Solutions |