To determine the total area of a triangular mural that Lebr is creating, you can use the formula for the area of a triangle. The correct formula to use is:
[tex]\[ A = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]
In this scenario:
- The base of the triangle is 8 feet.
- The height of the triangle is 9 feet.
To find the area [tex]\( A \)[/tex], you substitute the given values into the formula:
[tex]\[ A = \frac{1}{2} \times 8 \times 9 \][/tex]
First, multiply the base by the height:
[tex]\[ 8 \times 9 = 72 \][/tex]
Next, multiply the result by [tex]\(\frac{1}{2}\)[/tex]:
[tex]\[ A = \frac{1}{2} \times 72 = 36 \][/tex]
Therefore, the area of the triangular mural is 36 square feet. Lebr will need enough paint to cover 36 square feet.
Thus, the correct formula from the options provided should be identified by finding the one that correctly represents the area of a triangle. Unfortunately, none of the options given match the formula for the area of a triangle; however, the correct approach involves using:
[tex]\[ A = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]
And the correct area calculation results in 36 square feet.
