Question

Please help answer this question it would help if multiple people answered so I could confirm a correct answer thank you

Answer 1

53.33

Explanation:

finding area of ΔPAM

using similar triangles

`(4)/(x)= (12)/(4)`

16 = 12x; x =
`(4)/(3)`

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