Respuesta :

JK = 3 units
JM = [tex] \sqrt{2} [/tex]units
ML = 6 units
KL = [tex] \sqrt{5} [/tex] units

The perimeter is 9 + [tex] \sqrt{2} [/tex] + [tex] \sqrt{5} [/tex] units

The perimeter pf the trapezoid JKLM is: D. 9 + √2 + √5 units.

How to Find the Perimeter of a Trapezoid?

Perimeter of the trapezoid JKLM = JK + KL + LM + MJ

Using the distance formula, find the each line segment as shown below:

JK = |-7 - (-4)| = 3 units

LM = |-8 -(-2)| = 6 units

KL = √(−2−(−4))² + (3−4)²]

KL = √5 units

MJ = √(−7−(−8))² + (4−3)²]

MJ = √2 units

Perimeter = 3 + 6 + √5 + √2 = 9 + √2 + √5 units

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