Question

quadrilateral rstu is a rectangle, $rt = 4w + 20$, and $su = 3w + 61$. what is $su$?
$su = \square$

Explanation:

Step1: Set diagonals equal (rectangle property)

$4w + 20 = 3w + 61$

Step2: Solve for $w$

$4w - 3w = 61 - 20$
$w = 41$

Step3: Substitute $w$ into $SU$

$SU = 3(41) + 61$
$SU = 123 + 61$

Answer:

184