Question

Juan's house has a rectangular doorway that is 8 feet high and 3 feet wide. Which measurement is closest to the length of the diagonal of the doorway?

Answer 1

Given that Juan's house has a rectangular doorway that is 8 feet high and 3 feet wide.

We have to find the diagonal of doorway.

It is known that the length of the diagonal of rectangle is:

`d=\sqrt[]{l^2+w^2}`

Substitute l = 8 and w = 3.

`\begin{gathered} d=\sqrt[]{8^2+3^2} \\ =\sqrt[]{64+9} \\ =\sqrt[]{73} \\ =8.544 \end{gathered}`

Thus, the second option is correct.