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

1 answer

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.