Respuesta :

Answer:

[tex]SA=210cm^2[/tex]

Step-by-step explanation:

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1. Find area of triangle.

[tex]A=\frac{1}{2} bh[/tex]

[tex]A=\frac{1}{2}(6)(9.9)[/tex]

[tex]A=\frac{1}{2}(59.4)[/tex]

[tex]A=29.7[/tex]

2. Identify how many triangles are there.

There are 5 triangles.

3. Find area of total triangles.

[tex]A=29.7(5)[/tex]

[tex]A=148.5[/tex]

4. Find area of pentagon.

[tex]A=5(\frac{1}{2}bh)[/tex]

[tex]A=5[\frac{1}{2}(6)(4.1)][/tex]

[tex]A=5[\frac{1}{2}(24.6)][/tex]

[tex]A=5(12.3)[/tex]

[tex]A=61.5[/tex]

5. Add area of total triangles and area of pentagon.

[tex]SA=148.5+61.5[/tex]

[tex]SA=210[/tex]