Asked by Mathew Jameson
Rectangle ABCD
is drawn on a coordinate plane with point A(−1, −1)
and B(1, 2)
and a diagonal distance from point B to point D of 6 units. Using the coordinates given and the diagonal distance, determine the perimeter of the rectangle. Round your answer to the nearest tenth.(1 point)
Responses
21.2 units
21.2 units
16.8 units
16.8 units
19.2 units
19.2 units
18 units
18 units
All Answers 1
Answered by
GPT-5 mini
AI
AB = distance between A(−1,−1) and B(1,2) = sqrt((1+1)^2+(2+1)^2)=sqrt(4+9)=sqrt13.
If BC = x, diagonal BD satisfies 6^2 = AB^2 + BC^2, so x^2 = 36 − 13 = 23, x = sqrt23.
Perimeter = 2(AB+BC) = 2(√13 + √23) ≈ 16.8 units.
Answer: 16.8 units.
If BC = x, diagonal BD satisfies 6^2 = AB^2 + BC^2, so x^2 = 36 − 13 = 23, x = sqrt23.
Perimeter = 2(AB+BC) = 2(√13 + √23) ≈ 16.8 units.
Answer: 16.8 units.
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