Question

Find the missing measurement. Round your answer to the nearest tenth
height = 3.5 ft
bottom = ? ft
Area = 14 ft^2

9.6 ft

9.7 ft

8.6 ft

8 ft

Answer 1

To find the missing measurement (the bottom), we can use the formula for the area of a triangle:

\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]

In this case, we know the area and the height, so we can rearrange this formula to solve for the base:

\[
\text{base} = \frac{2 \times \text{Area}}{\text{height}}
\]

Given:
- Area = 14 ft²
- Height = 3.5 ft

Now, substitute the values:

\[
\text{base} = \frac{2 \times 14 \, \text{ft}^2}{3.5 \, \text{ft}} = \frac{28 \, \text{ft}^2}{3.5 \, \text{ft}}
\]

Calculating the base:

\[
\text{base} = 8 \, \text{ft}
\]

Thus, the missing measurement for the bottom is **8 ft**.