Respuesta :
Answer:
Option D, $2.71
Step-by-step explanation:
Step 1: Figure out the height
[tex](5.4)^{2} + b^{2} = (17.2)^{2}[/tex]
[tex]29.16 + b^{2} = 295.84[/tex]
[tex]b^{2} = 266.68[/tex]
[tex]\sqrt{b^{2}} = \sqrt{266.68}[/tex]
[tex]b = 16.33[/tex]
Step 2: Figure out the area
[tex]A = \frac{5}{4} * tan(54) * a^{2} + 5 * \frac{a}{2} * \sqrt{h^{2} + (\frac{a * tan(54)} {2})^{2}}[/tex]
[tex]A = \frac{5}{4} * tan(54) * (8)^{2} + 5 * \frac{(8)}{2} * \sqrt{(16.33)^{2} + (\frac{(8) * tan(54)} {2})^{2}}[/tex]
[tex]A = 454.77[/tex]
Step 3: Figure out the price
[tex]454.77 * 0.006[/tex]
[tex]2.72862[/tex]
Answer: Option D, $2.71