Respuesta :

Answer:

a. Perimeter of the figure = 80 units

b. Area of the figure = 480 square units

Step-by-step explanation:

Length of side of octagon

[tex] =2\sqrt {13^2 - 12^2} [/tex]

[tex] =2\sqrt {169 - 144} [/tex]

[tex] =2\sqrt {169 - 144} [/tex]

[tex] =2\sqrt {25} [/tex]

[tex] =2\times 5[/tex]

[tex] =10\: units[/tex]

a. Perimeter of the figure = 8*10 = 80 units

b. Area of the figure

[tex] = 8 \times \frac{1}{2} \times 10 \times 12 \\ \\ = 4 \times 120 \\ \\ = 480 \: {units}^{2} [/tex]