Question

Perimeter of quadrilateral

Answer 1

Answer:

The answer to your question is:  14 + 2√40  = 26.6 units

Step-by-step explanation:

Data

A ( -5, 4)     B (-3, -2)     C (4, -2)     D (2, 4)

Formula

d = √(x2 - x1)² + (y2 - y1)²

Perimeter = dAB + dBC + dCD + dAD

Process

dAB = √(-3 + 5)² + (-2 - 4)²

dAB = √(2)² + (-6)²

dAB = √4 + 36

dAB = √40 units

dBC = √(4 + 3)² + (-2 + 2)²

dBC = √(7)²

dBC = √49

dBC = 7 units

dCD = √(2 - 4)² + (4 + 2)²

dCD = √(2)² + (6)²

dCD = √40 units

dAD = √(2 + 5)² + (4 - 4)²

dAD = √49

dAD = 7 units

Perimeter = √40 + 7 + √40 + 7

Perimeter = 14 + 2√40  = 26.6 units