Final answer:
The length of the base of the triangle is 32 inches.
Step-by-step explanation:
The formula for the area of a triangle is 1/2 × base × height. To find the length of the base, we can rearrange the formula to solve for the base. Since we know the height is 15 inches and the area is 240 square inches, we can substitute these values into the formula:
240 = (1/2) × base × 15
Simplifying the equation, we get:
240 = 7.5 × base
Dividing both sides of the equation by 7.5, we find:
base = 32 inches
Therefore, the length of the base of the triangle is 32 inches.