Question
The floor of a restaurant is covered with 9500 parallelogram-shaped tiles. Each tile has a base of 0.28 meter and a height of 0.34 meter.
What is the area of the floor?
Responses
0.0952 m2
0.0952 m 2
0.062 m2
0.062 m 2
904.4 m2
904.4 m 2
5890 m2
5890 m 2
What is the area of the floor?
Responses
0.0952 m2
0.0952 m 2
0.062 m2
0.062 m 2
904.4 m2
904.4 m 2
5890 m2
5890 m 2
Answers
GPT-4o mini
To find the area of the floor covered by the tiles, we first need to calculate the area of one parallelogram-shaped tile. The area \( A \) of a parallelogram is given by the formula:
\[
A = \text{base} \times \text{height}
\]
Given:
- Base = 0.28 meters
- Height = 0.34 meters
Now, we can compute the area of one tile:
\[
A = 0.28 \, \text{m} \times 0.34 \, \text{m} = 0.0952 \, \text{m}^2
\]
Next, since there are 9500 tiles on the floor, we can find the total area of the floor by multiplying the area of one tile by the number of tiles:
\[
\text{Total Area} = 0.0952 \, \text{m}^2 \times 9500 = 904.4 \, \text{m}^2
\]
Thus, the area of the floor is:
**904.4 m²**
\[
A = \text{base} \times \text{height}
\]
Given:
- Base = 0.28 meters
- Height = 0.34 meters
Now, we can compute the area of one tile:
\[
A = 0.28 \, \text{m} \times 0.34 \, \text{m} = 0.0952 \, \text{m}^2
\]
Next, since there are 9500 tiles on the floor, we can find the total area of the floor by multiplying the area of one tile by the number of tiles:
\[
\text{Total Area} = 0.0952 \, \text{m}^2 \times 9500 = 904.4 \, \text{m}^2
\]
Thus, the area of the floor is:
**904.4 m²**