Question

i) quadrilateral ghij is a rhombus. what is the value of $w$?
$4w+11$
$w+20$
$w = \square$

Explanation:

Step1: Set sides equal (rhombus property)

All sides of a rhombus are congruent, so:
$4w + 11 = w + 20$

Step2: Isolate variable w

Subtract $w$ from both sides:
$4w - w + 11 = 20$
$3w + 11 = 20$
Subtract 11 from both sides:
$3w = 20 - 11$
$3w = 9$

Step3: Solve for w

Divide both sides by 3:
$w = \frac{9}{3}$

Answer:

$w = 3$