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,

Question

4 years ago

10

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

Mathematics

2 answers:

IrinaVladis [17] · Answer 1 · 2022-02-21T11:58:52+03:00

IrinaVladis [17]4 years ago

4 0

Answer:

B) $4\sqrt{37}$ units

Step-by-step explanation:

perimeter = side lengths added together

just got 100 on the test

Simora [160] · Answer 2 · 2022-02-21T10:06:28+03:00

Answer:

4√37 units

Step-by-step explanation:

Side AB has a length given by the distance formula:

d = √((x2-x1)² +(y2-y1)²)

d = √((2-3)² +(-2-4)) = √(1+36) = √37

The perimeter of the square is the sum of the lengths of four sides that are this length, so is ...

P = 4d = 4√37 . . . units