Question

if $uy = 6a - 57$ and $wy = 3a - 18$, find $wy$ in rectangle $uvwx$.
$wy = \square$

Explanation:

Step1: Set segments equal (rectangle diagonals)

$6a - 57 = 3a - 18$

Step2: Solve for $a$

$6a - 3a = 57 - 18$
$3a = 39$
$a = 13$

Step3: Substitute $a$ into $WY$

$WY = 3(13) - 18$

Answer:

$11$