Quadrilateral lmno is a rectangle. find the perimeter of lmno. the figure is not drawn to scale.

perimeter = 102 units

Explanation:
First, we will need to get the side lengths. This means that we will need to solve for x and y.
In any rectangle, each two opposite sides are equal.
1- Solving for x:
We have : LO = MN
4x - 1 = 5x - 8
5x - 4x = -1 + 8
x = 7 
This means that:
LO = MN = 4(7)-1 = 5(7)-8 = 27 units
2- Solving for y:
We have: LM = ON
3y - 6 = 2y + 4
3y - 2y = 4+6
y = 10
This means that:
LM = ON = 3(10)-6 = 2(10)+4 = 24 units
3- getting the perimeter:
perimeter of the rectangle = LM + MN + NO + OL
perimeter of the rectangle = 24 + 27 + 24 + 27
perimeter of the rectangle = 102 units

Hope this helps :)

P = 3y - 6 + 5x - 8 + 2y + 4 + 4x - 1
P = 9x + 5y -11

5x – 8 = 4x – 1

X = 7

 

2y + 4 = 3y – 6

Y = 10

 

So

P = 9(7) + 5(10) -11

P = 63 + 50 – 11

P = 102

answer
P = 102