Question

Find the perimeter of the trapezoid with these vertices.
(4, 6), (-2, 6), (4, -1), (1, -1)
Give an exact answer (not a decimal approximation).

Answer 1

Answer:

9 + √58 + √85.

Step-by-step explanation:

First 2 points

length between these points  =  4 - (-2) = 6.

Second and third points

length = √[(-2-4)^2 + (6- (-1))^2]

           = √(36+49)

           =  √85.

third and fourth points:

length = 4-1 = 3

Fourth and first points:

length = √([(4-1)^2 + (6- -1)^2]

           =  √(9 + 49

            =   √58.

So the perimeter = 6 + 3 + √58 + √85.

= 9 + √58 + √85.