Question

Vaughn Pang sketched trapezoid RUIz on a coordinate plane. RUIz has vertices located at R 1,4), U(-2,0), (7,0), and Z(3,4). Which of the following is the perimeter of RUIZ?

Answer 1

To determine the perimeter of the trapezoid, we just have to determine the distance between the pair of points which can be calculated through the equation,
                                  d = √(x₂ - x₁)² + (y₂ - y₁)²
Substituting,
     (1,4) and (-2,0)        d = √(1 - -2)² + (4 - 0)² = 5
     (-2,0) and (7,0)        d= √(-2 - 7)² + (0 - 0)² = 9
     (7,0) and (3,4)         d = √(7 - 3)² + (0 - 4)² = 5.66
    (3,4) and (1,4)          d = √(3 - 1)² + (0 - 0)² = 2

The perimeter is the sum of the distances. Thus, the answer is 21.66. 

Answer 2

Answer: The the answer is 21.66!