2015 AMC 8 Problems/Problem 1

Problem

Onkon wants to cover his room's floor with his favourite red carpet. How many square yards of red 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 1

We need $12/cdot9$ square feet of carpet to cover the room's floor. Since there are $9$ square feet in a square yard, you divide this by $9$ to get $12$ square yards, so our answer is $\bold{\boxed{\textbf{(A) }12}}$ .

Solution 2

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 $3\cdot4=\boxed{\textbf{(A) }12}$ .

Video Solution 1 (HOW TO THINK CRITICALLY)

https://youtu.be/8mpjdpKcFs8

~Education, the Study of Everything

Video Solution 2

https://youtu.be/758_W_eK81g

~savannahsolver

2015 AMC 8 (Problems • Answer Key • Resources)
Preceded by First Problem	Followed by Problem 2
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All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

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