Question

quadrilateral uvwx is a rhombus. what is uv?
$uv = \square$
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Explanation:

Step1: Set sides equal (rhombus property)

All sides of a rhombus are congruent, so:
$8a + 2 = 3a + 12$

Step2: Solve for $a$

Subtract $3a$ and 2 from both sides:
$8a - 3a = 12 - 2$
$5a = 10$
$a = \frac{10}{5} = 2$

Step3: Calculate length of $UV$

Substitute $a=2$ into $8a+2$:
$UV = 8(2) + 2$

Answer:

18