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

  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

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6