Question
Alberto is painting a large triangle on one wall of his bedroom. The base of the triangle is 4 feet, and the height is 8 feet. It takes 0.2 quart of paint to cover 1 square foot.
How many quarts of paint does Alberto use?
Responses
0.8 qt
0.8 qt
1.6 qt
1.6 qt
3.2 qt
3.2 qt
6.4 qt
6.4 qt
How many quarts of paint does Alberto use?
Responses
0.8 qt
0.8 qt
1.6 qt
1.6 qt
3.2 qt
3.2 qt
6.4 qt
6.4 qt
Answers
GPT-4o mini
To determine how many quarts of paint Alberto will use, we first need to calculate the area of the triangle he is painting. The formula for the area \( A \) of a triangle is given by:
\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]
In this case, the base is \( 4 \) feet and the height is \( 8 \) feet. Plugging in these values:
\[
A = \frac{1}{2} \times 4 \times 8 = \frac{1}{2} \times 32 = 16 \text{ square feet}
\]
Now that we know the area of the triangle is \( 16 \) square feet, we can calculate the amount of paint needed. Since it takes \( 0.2 \) quarts of paint to cover \( 1 \) square foot, we calculate the total quarts of paint required for \( 16 \) square feet:
\[
\text{Total paint (quarts)} = 16 \text{ square feet} \times 0.2 \text{ quarts/square foot} = 3.2 \text{ quarts}
\]
Thus, Alberto uses **3.2 quarts** of paint.
The correct response is:
**3.2 qt**
\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]
In this case, the base is \( 4 \) feet and the height is \( 8 \) feet. Plugging in these values:
\[
A = \frac{1}{2} \times 4 \times 8 = \frac{1}{2} \times 32 = 16 \text{ square feet}
\]
Now that we know the area of the triangle is \( 16 \) square feet, we can calculate the amount of paint needed. Since it takes \( 0.2 \) quarts of paint to cover \( 1 \) square foot, we calculate the total quarts of paint required for \( 16 \) square feet:
\[
\text{Total paint (quarts)} = 16 \text{ square feet} \times 0.2 \text{ quarts/square foot} = 3.2 \text{ quarts}
\]
Thus, Alberto uses **3.2 quarts** of paint.
The correct response is:
**3.2 qt**