Question

the perimeter of the figure below is 144.5 in. find the length of the missing side. (note: diagram is not to scale)

Explanation:

Step1: Sum known side lengths

$11.3 + 48.4+11.3 + 24.2+13.2 + 13.2+13.2$
$=(11.3\times2)+48.4 + 24.2+(13.2\times3)$
$=22.6+48.4 + 24.2 + 39.6$
$=71+24.2 + 39.6$
$=95.2+39.6$
$=134.8$

Step2: Find missing side length

Let the missing side length be $x$. The perimeter $P$ is the sum of all side - lengths. So $P=134.8 + x$. Given $P = 144.5$. Then $x=144.5−134.8$
$x = 9.7$

Answer:

$9.7$ in