Question

quadrilateral stuv is a square. what is uv? s 4a t a + 39 v u uv =

Explanation:

Step1: Use property of square sides

In a square, all sides are equal. So, $4a=a + 39$.

Step2: Solve for a

Subtract $a$ from both sides: $4a−a=a + 39−a$, which gives $3a=39$. Then divide both sides by 3: $a=\frac{39}{3}=13$.

Step3: Find length of UV

Since $UV=a + 39$ and $a = 13$, then $UV=13+39=52$.

Answer:

52