The area of the triangle below is start fraction, 1, divided by, 30, end fraction 30 1 square feet. What is the length of the base? Express your answer as a fraction in simplest form.
To find the length of the base, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
We are given that the area is 1/30 square feet, so we can plug this into the formula:
1/30 = (1/2) * base * height
We are also given that the height is 1 foot, so we can plug this in as well:
1/30 = (1/2) * base * 1
Now we can solve for the length of the base:
1/30 = 1/2 * base
Multiply both sides by 2 to isolate base:
2 * (1/30) = base
2/30 = base
Simplify the fraction to get the length of the base:
base = 1/15
Therefore, the length of the base is 1/15 feet.