To find the missing measurement (the bottom length) given the height and area of the shape, we can use the formula for the area of a rectangle:
\[ \text{Area} = \text{height} \times \text{base} \]
In this case, the area is given as 14 square feet, and the height is 3.4 feet. We can rearrange the formula to solve for the base (bottom length):
\[ \text{base} = \frac{\text{Area}}{\text{height}} \]
Substituting the known values:
\[ \text{base} = \frac{14 , \text{ft}^2}{3.4 , \text{ft}} \]
Calculating this gives:
\[ \text{base} = 4.11764705882 , \text{ft} \]
Rounding to the nearest tenth:
\[ \text{base} \approx 4.1 , \text{ft} \]
Therefore, the missing measurement (the bottom) is approximately 4.1 ft.