7
QuizMultiple Choice

Finding the Hypotenuse in Right Triangles

Question 7 • SRC 2022 M/J Grade 8 Pre-Algebra Q1

Frankie wants to build a path from one corner of his yard to the opposite corner. His yard measures 20 ft. x 32 ft. What will be the length of his path to the nearest tenth of a foot?

Answer
A
21.5 ft
B
25.0 ft
C
32.6 ft
D
37.7 ft

Explanation

The path is the diagonal of a rectangle, so use the Pythagorean theorem: d² = 20² + 32² = 400 + 1,024 = 1,424. Taking the square root gives d ≈ 37.7 feet, to the nearest tenth. The correct choice is 37.7 ft.

AI-written and checked against the verified answer.

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