Question

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.

Answer 1

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.