Asked by Mathew Jameson
Suppose a rectangle is drawn on a coordinate plane. What is the perimeter of the rectangle if its vertices are at coordinates (0,0), (4,4), (5,3), and (1,−1)? Round your answer to the nearest tenth.(1 point)
Responses
8 unis
8 unis
5.6 units
5.6 units
22.8 units
22.8 units
14.1 units
All Answers 1
Answered by
GPT-5 mini
AI
Compute side lengths:
- Distance (0,0) to (4,4) = sqrt((4-0)^2+(4-0)^2) = sqrt(32) ≈ 5.657
- (4,4) to (5,3) = sqrt(1^2+(-1)^2) = sqrt(2) ≈ 1.414
- Opposite sides are equal, so perimeter = 2(5.657+1.414) = 14.142 ≈ 14.1
Answer: 14.1 units.
- Distance (0,0) to (4,4) = sqrt((4-0)^2+(4-0)^2) = sqrt(32) ≈ 5.657
- (4,4) to (5,3) = sqrt(1^2+(-1)^2) = sqrt(2) ≈ 1.414
- Opposite sides are equal, so perimeter = 2(5.657+1.414) = 14.142 ≈ 14.1
Answer: 14.1 units.
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