Final answer:
To determine the length of the base of a triangle given its area and height, we use the formula for the area of a triangle. By substituting the known values and solving for the base, we find that the base length is 16 feet.
Step-by-step explanation:
The question is asking us to calculate the length of the base of a triangle when given its height and area. The formula to find the area of a triangle is 1/2 × base × height. Given the area is 32 square feet and the height is 4 feet, we can plug in these values into the formula and solve for the base length:
Area = 1/2 × base × height
32 = 1/2 × base × 4
To solve for the base, we first multiply both sides by 2 to eliminate the fraction:
64 = base × 4
Then, we divide both sides by 4 to isolate the base:
base = 64 / 4
base = 16 feet
Therefore, the correct answer is A) 16 feet.