Answer: 48 units
Step-by-step explanation:
In a rhombus, all the sides are equal. This is shown by equality sign on each side of the given rhombus. Therefore,
LM = MN
3x - 3 = x + 7
Subtracting x from the left hand side and the right hand side of the equation, it becomes
3x - x - 3 = x - x + 7
2x - 3 = 7
Adding 3 to the left hand side and the right hand side of the equation, it becomes
2x - 3 + 3 = 7 + 3
2x = 10
x = 10/2 = 5
Therefore, the length of each side is
3 × 5 - 3
= 15 - 3 = 12
Therefore, the perimeter of the rhombus is
12 × 4 = 48 units
