Answer:
53.33
Step-by-step explanation:
finding area of ΔPAM
using similar triangles
[tex]\frac{4}{x}= \frac{12}{4}[/tex]
16 = 12x; x = [tex]\frac{4}{3}[/tex]
ΔPAM = 4/3 * 4 * 1/2 = 16/6 = 8/3
ΔPAL = 4 * 12 * 1/2 = 24
24 + 8/3 = 80/3 (using fraction form for now, will round later)
since there are two ΔPLM (ΔLMU has same area since they are congruent)
we can multiply 80/3 by 2
80/3 * 2 = 160/3 = 53.33
