Question

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

A. 7.4
B. 11.0
C. 8.5
D. 3.3

Answer 1

The answer to your question is letter C

Explanation:

Data

height = h = 8 ft

width = w = 3 ft

diagonal = d = ?

Formula

We can use the Pythagorean theorem to solve this problem.

d² = h² + w²

Substitution

d² = 8² + 3²

Simplifying

d² = 64 + 9

d² = 73

Result

d = 8.5 ft