Mr. Lyons is laying tile for the rectangular floor of a hotel lobby. The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles. Which explains whether or not he has enough tiles for the entire floor?

Question

No, he does not have enough tiles. He needs 4,456 tiles, so he needs 56 more.

No, he does not have enough tiles He needs 4,600 tiles, so he needs 200 more.

Yes, he has enough tiles. He needs only 4,146 will have 254 left over.

Yes, he has enough tiles. He needs only 4,256 will have 144 left over.

Answer 1

To determine if Mr. Lyons has enough tiles, we need to calculate the total number of tiles required for the floor. The floor is 38 tiles wide and 112 tiles long.

The total number of tiles needed is:

\[ \text{Total tiles needed} = \text{width} \times \text{length} = 38 \times 112 \]

Calculating that:

\[ 38 \times 112 = 4256 \]

Now, we compare this with the number of tiles Mr. Lyons has, which is 4,400 tiles.

Since 4,400 tiles is less than 4,256 tiles, Mr. Lyons does not have enough tiles to cover the entire floor.

Therefore, the correct explanation is:

No, he does not have enough tiles. He needs 4,256 tiles, so he needs 144 more.