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nickwwe13
24.10.2019 •
Mathematics
the coordinates of the vertices of a rectangle are (−3,2), (5,4), (6,0), and (−2,−2)
what is the perimeter of the rectangle, to the nearest tenth of a unit?
8.2 units
12.4 units
24.7 units
34.0 units
Solved
Show answers
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Ответ:
d = √((x₂ - x₁)² + (y₂-y₁)²)
We compute the distance between the points (-3,2) and (5,4)
d = √((5 + 3)² + (4 - 2)²) = √68
Now, we check the next two points:
d = √((6 - 5)² + (0 - 4)² = √17
Now, we know that the adjacent sides of a rectangle are equal so the perimeter can be calculated using:
P = 2(l₁ + l₂)
P = 2(√68 + √17)
=24.7 units.
Ответ: