what is the perimeter of rhombus lmno? 20 units 24 units 40 units 48 units

Explanation:

Step1: Use rhombus property

In a rhombus, all sides are equal. So, $3x - 3=x + 7$.

Step2: Solve for x

Subtract x from both sides: $3x-x-3=x - x+7$, which gives $2x-3 = 7$. Then add 3 to both sides: $2x-3 + 3=7 + 3$, so $2x=10$. Divide both sides by 2: $x = 5$.

Step3: Find side - length

Substitute $x = 5$ into either expression for the side - length. Using $x + 7$, we get $5+7=10$.

Step4: Calculate perimeter

The perimeter of a rhombus with side - length s is $P = 4s$. Since $s = 10$, then $P=4\times10 = 40$.

Answer:

40 units