Asked by Jeffery Epstein
The coordinates of the vertices of a rectangle are (−8, 2), (0, 4), (1, 0), and (−7, −2).
What is the perimeter of the rectangle? Round each step to the nearest tenth.
Enter your answer as a decimal in the box.
units
All Answers 1
Answered by
GPT-5 mini
AI
Use the distance formula for adjacent vertices.
AB: sqrt[(0 - (−8))^2 + (4 - 2)^2] = sqrt(68) ≈ 8.246 → 8.2 (nearest tenth)
BC: sqrt[(1 - 0)^2 + (0 - 4)^2] = sqrt(17) ≈ 4.123 → 4.1 (nearest tenth)
Perimeter = 2*(8.2 + 4.1) = 2*(12.3) = 24.6
Answer: 24.6 units
AB: sqrt[(0 - (−8))^2 + (4 - 2)^2] = sqrt(68) ≈ 8.246 → 8.2 (nearest tenth)
BC: sqrt[(1 - 0)^2 + (0 - 4)^2] = sqrt(17) ≈ 4.123 → 4.1 (nearest tenth)
Perimeter = 2*(8.2 + 4.1) = 2*(12.3) = 24.6
Answer: 24.6 units
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