2015 AMC 8

Complete problem set with solutions and individual problem pages

Problem 1 Easy

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.)

  • A.

    12

  • B.

    36

  • C.

    108

  • D.

    324

  • E.

    972

Answer:A

Solution 1

We need 12\cdot9 square feet of carpet to cover the floor. Since there are 9 square feet in a square yard, we divide this by 9 to get {\boxed{\textbf{(A) }12}} square yards.

 

Solution 2

Since there are 3 feet in a yard, we divide 9 by 3 to get 3 yards, and 12 by 3 to get 4 yards. To find the area of the carpet, we then multiply these two values together to get 3\cdot4=\boxed{\textbf{(A) }12} square yards.

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