Question

1. find the value of w in rectangle hijk.

w =

Explanation:

Step1: Set equal opposite sides

In a rectangle, opposite sides are congruent, so $w = 9w - 32$.

Step2: Isolate w terms

Subtract $w$ from both sides:
$0 = 8w - 32$

Step3: Solve for w

Add 32 to both sides, then divide by 8:
$8w = 32$
$w = \frac{32}{8}$

Answer:

$4$