Question

if qs = w - 26 and qu = 2w - 72, find the value of w in rectangle rstu. w =

Explanation:

Step1: Recall rectangle property

In a rectangle, the diagonals bisect each other and are equal. So, $QS = QU$.
$w - 26=2w - 72$

Step2: Isolate w terms

Subtract w from both sides.
$w - 26 - w=2w - 72 - w$
$- 26=w - 72$

Step3: Solve for w

Add 72 to both sides.
$-26 + 72=w - 72+72$
$w = 46$

Answer:

$46$