Question

quadrilateral uvwx is a rectangle, $uy = 4p$, and $vy = p + 66$. what is the value of $p$?
$p = \square$

Explanation:

Step1: Set equal diagonals segments

In a rectangle, diagonals bisect each other, so $UY = VY$.
$4p = p + 66$

Step2: Isolate variable $p$

Subtract $p$ from both sides.
$4p - p = 66$
$3p = 66$

Step3: Solve for $p$

Divide both sides by 3.
$p = \frac{66}{3}$

Answer:

$22$