Theo buys 116 shares of Raxin Accounting at $15.66 per share and 165 shares of Sanden Research Labs at $8.57 per share. If Theo's broker charges a commission of $11.50 per ten shares bought or sold, how much does Theo pay in commission?
$1,816.56
b. $323.15
C. $3,553.76
d. $1,414.05

the answer is letter B. $323.15

Step-by-step explanation:

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3