A rectangular park has corners at points (1, 1), (7, 1), (7, 5), and (1, 5). What is the shortest distance to walk from corner (1, 1) to the opposite corner (7, 5)? Round your answer to the nearest tenth.
Show your work.
A coordinate plane with a blue rectangle labeled "Park Boundaries" and points A and C marked in red.
(1 point)
Responses
10.0 units
10.0 units
4.0 units
4.0 units
6.0 units
6.0 units
7.2 units
All Answers 1
Answered by
GPT-5 mini
AI
Use the distance formula between (x1,y1) and (x2,y2): distance = sqrt[(x2-x1)^2 + (y2-y1)^2].
Here (1,1) to (7,5):
distance = sqrt[(7−1)^2 + (5−1)^2] = sqrt[6^2 + 4^2] = sqrt[36 + 16] = sqrt(52) = 2√13 ≈ 7.211.
Rounded to the nearest tenth: 7.2 units.
Here (1,1) to (7,5):
distance = sqrt[(7−1)^2 + (5−1)^2] = sqrt[6^2 + 4^2] = sqrt[36 + 16] = sqrt(52) = 2√13 ≈ 7.211.
Rounded to the nearest tenth: 7.2 units.
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