To find the distance between two opposite corners of the rectangular floor of the storage unit, we can use the Pythagorean theorem. The formula is:
\[ d = \sqrt{l^2 + w^2} \]
where:
- \( d \) is the distance between the corners,
- \( l \) is the length,
- \( w \) is the width.
Given:
- \( l = 3 \) feet,
- \( w = 7 \) feet.
Plugging in the values, we get:
\[ d = \sqrt{3^2 + 7^2} \]
Calculating \( 3^2 \) and \( 7^2 \):
\[ d = \sqrt{9 + 49} \]
\[ d = \sqrt{58} \]
Now calculating \( \sqrt{58} \):
\[ d \approx 7.6158 \]
Rounding to the nearest tenth, we find:
\[ d \approx 7.6 \text{ feet} \]
Therefore, the distance between the two opposite corners of the floor is approximately 7.6 feet.