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
