Based on the description of the second image you provided, it outlines a math problem involving the calculation of the base length of a triangular sign where the area and height are given.
Problem Setup:
- Area of the triangle: 7.5 square feet
- Height of the triangle: 2.5 feet
- Question: What is the length of the base of the sign?
Formula for the Area of a Triangle:
The area \( A \) of a triangle can be calculated using the formula: \[ A = \frac{1}{2} \times \text{base} \times \text{height} \]
Rearranging for Base:
To find the base \( b \): \[ b = \frac{2A}{\text{height}} \]
Plugging in Values:
Using the given values: \[ b = \frac{2 \times 7.5 \text{ ft}^2}{2.5 \text{ ft}} \] \[ b = \frac{15 \text{ ft}^2}{2.5 \text{ ft}} \] \[ b = 6 \text{ ft} \]
Multiple Choice Answers:
- 6 feet (Correct Answer)
- 3 feet
- 10 feet
- 0.6 feet
Conclusion:
The correct answer to the question is 6 feet, which matches the first option in the multiple-choice answers. Let me know if you need any further assistance with this problem!