Question

the perimeter of the triangle below is 50 units. find the length of side $overline{pq}$. write your answer without variables. $pq = \square$

Explanation:

Step1: Sum sides for perimeter

$4x + (x - 1) + (3x + 3) = 50$

Step2: Simplify left-hand side

$4x + x - 1 + 3x + 3 = 8x + 2$

Step3: Solve for $x$

$8x + 2 = 50$
$8x = 50 - 2 = 48$
$x = \frac{48}{8} = 6$

Step4: Calculate length of $\overline{PQ}$

$\overline{PQ} = 3x + 3 = 3(6) + 3$

Answer:

21