Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. The length of L M is 3 x minus 3 and the length of M N is x + 7.

What is the perimeter of rhombus LMNO?

20 units

24 units

40 units

48 units

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

29933333.33

step-by-step explanation:

the circumference is c≈245.04