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

Question

Mathematics

Kate Lang

15 February, 08:22

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

+3

Answers (1)

Know the Answer?

Marcelo Blankenship · Answer 1

The answer to your question is letter C

Step-by-step 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

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. 7.4B. 11.0C. 8.5D. 3.3

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