The perimeter of the trapezoid is 9 + √2 + √5 units. then the correct option is D.
Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The points are J(-7, 4), K(-4, 4), L(-2, 3), and M(-8, 3).
We know that distance between two points will be given as
[tex]\rm D= \sqrt{(x_2 - x_1 )^2 + (y_2 - y_1)^2}[/tex]
The distance between JK will be
[tex]JK = \sqrt{(-4+7)^2 + (0)^2 } = 3[/tex]
The distance between KL will be
[tex]KL = \sqrt{(-2+4)^2 + (3-4)^2 } = \sqrt5[/tex]
The distance between LM will be
[tex]LM = \sqrt{(-8+2)^2 + (0)^2 } = 6[/tex]
The distance between JK will be
[tex]MJ = \sqrt{(-7+8)^2 + (4-3)^2 } = \sqrt2[/tex]
Then the perimeter will be
Perimeter = JK + KL + LM + MJ
Perimeter = 3 + √5 + 6 + √2
Perimeter = 9 + √2 + √5
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
