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On a coordinate plane, square A B C D is shown. Point A is at (3, 4), point B is at (2, negative 2), point C is at (negative 4, negative 1), and point D is at (negative 3, 5). What is the perimeter of square ABCD? StartRoot 37 EndRoot units 4 StartRoot 37 EndRoot units 28 units 37 units

On a coordinate plane, square A B C D is shown. Point A is at (3, 4), point B is at-example-1

2 Answers

6 votes

Answer:

4 root 37units

Explanation:

gl on the exam

User QuickPrototype
by
7.9k points
6 votes

Answer:

4
√(37)

Explanation:

Since the figure is a square, find the length of 1 side and multiply by 4 for perimeter.

Calculate the length of AB using the distance formula.

AB = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(3, 4) and (x₂, y₂ ) = B(2, - 2)

AB =
√((2-3)^2+(-2-4)^2)

=
√((-1)^2+(-6)^2)

=
√(1+36)

=
√(37)

Hence

perimeter = 4AB = 4
√(37)

User Porges
by
8.2k points

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