Question

The floor of a storage unit is 3 feet long and 7 feet wide. What is the distance between two opposite corners of the floor? If necessary, round to the nearest tenth.

feet

Answer 1

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**.