2015 AMC 8 Problems/Problem 1

How many square yards of carpet are required to cover a rectangular floor that is $12$ feet long and $9$ feet wide? (There are 3 feet in a yard.)

$\textbf{(A) }12\qquad\textbf{(B) }36\qquad\textbf{(C) }108\qquad\textbf{(D) }324\qquad \textbf{(E) }972$

Solution

First, we multiply $12\cdot9$ to get that you need $108$ square feet of carpet you need to cover. Since there are $9$ square feet in a square yard, you divide $108$ by $9$ to get $12$ square yards, so our answer is $\boxed{\textbf{(A)}}$ .

Solution 2

First we should write an equation for it: $\frac{12*9}{9}$ Then we simplify: $\frac{12}{1}$ Then further simplify and get our answer: $12 \textbf{(A)}$

Solution 3

Since there are $3$ feet in a yard, we divide $9$ by $3$ to get $3$ , and $12$ by $3$ to get $4$ . To find the area of the carpet, we then multiply these two values together to get $12$ square yards, which yields $\boxed{\textbf{(A)}~12}$

2015 AMC 8 (Problems • Answer Key • Resources)
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All AJHSME/AMC 8 Problems and Solutions

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2015 AMC 8 Problems/Problem 1

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Solution

Solution 2

Solution 3

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