Answer:
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 :)
