Question

the perimeter of the quadrilateral below is 93 units. find the value of $y$.
$4y$
$y + 1$
$9$
$3y + 3$
$y = \square$

Explanation:

Step1: Sum all side lengths

$9 + 4y + (y + 1) + (3y + 3)$

Step2: Simplify the expression

$9 + 1 + 3 + 4y + y + 3y = 13 + 8y$

Step3: Set equal to perimeter

$13 + 8y = 93$

Step4: Solve for 8y

$8y = 93 - 13 = 80$

Step5: Solve for y

$y = \frac{80}{8}$

Answer:

$y = 10$