Question
Mason is tiling the floor of his bathroom, which measures 9.75 feet by 8.63 feet. He estimates the area. Will he have enough tile if he buys 90 square feet of tiles? Explain why or why not.
Answers
GPT-4o mini
To determine if Mason will have enough tile, we first need to calculate the area of the bathroom floor. The area \( A \) of a rectangle is calculated using the formula:
\[
A = \text{length} \times \text{width}
\]
In this case, the length is 9.75 feet and the width is 8.63 feet. Therefore, the area of the bathroom is:
\[
A = 9.75 \, \text{ft} \times 8.63 \, \text{ft}
\]
Calculating that gives:
\[
A = 84.1875 \, \text{square feet}
\]
Now we compare this area with the number of square feet of tiles Mason intends to buy:
Mason plans to buy 90 square feet of tiles. The area of the bathroom is approximately 84.19 square feet.
Since 90 square feet (the amount of tile Mason is buying) is greater than 84.19 square feet (the area he needs to cover), Mason will have enough tile for the bathroom.
In conclusion, yes, Mason will have enough tile since 90 square feet is more than sufficient to cover the approximately 84.19 square feet area of the bathroom.
\[
A = \text{length} \times \text{width}
\]
In this case, the length is 9.75 feet and the width is 8.63 feet. Therefore, the area of the bathroom is:
\[
A = 9.75 \, \text{ft} \times 8.63 \, \text{ft}
\]
Calculating that gives:
\[
A = 84.1875 \, \text{square feet}
\]
Now we compare this area with the number of square feet of tiles Mason intends to buy:
Mason plans to buy 90 square feet of tiles. The area of the bathroom is approximately 84.19 square feet.
Since 90 square feet (the amount of tile Mason is buying) is greater than 84.19 square feet (the area he needs to cover), Mason will have enough tile for the bathroom.
In conclusion, yes, Mason will have enough tile since 90 square feet is more than sufficient to cover the approximately 84.19 square feet area of the bathroom.