Question

Manny wants to put 2-foot by 2-foot carpet tiles on the floor of hisrectangular, 20 feet by 14 feet living room floor. What is the least number ofcarpet tiles he can use to completely cover his living room floor?

Answer 1

`70\text{ t}\imaginaryI\text{les}`

Step-by-step explanation

We want to find the least number of tiles that Manny can use to cover his living room completely.

To do this, we have to divide the area of the living room by the area of each tile.

The living room is a rectangle, so, its area is:

`\begin{gathered} A=L*W \\ \\ A=20*14 \\ \\ A=280ft^2 \end{gathered}`

The area of each tile is:

`\begin{gathered} A=L*W \\ \\ A=2*2 \\ \\ A=4ft^2 \end{gathered}`

Therefore, the least number of carpet tiles that he can use is:

`\begin{gathered} (280)/(4) \\ \\ 70\text{ tiles} \end{gathered}`

That is the answer.