Respuesta :

Answer:

[tex]A_{total} = 132\ ft^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the rectangle

[tex]A = l * w[/tex]

[tex]A = 9\ ft * 11\ ft[/tex]

[tex]A = 99\ ft^2[/tex]

Step 2:  Determine the area of the triangles

[tex]A = \frac{h * b}{2}[/tex]

[tex]A=\frac{(15\ ft - 9\ ft)*(11\ ft / 2)}{2}[/tex]

[tex]A=\frac{6\ ft * 5.5\ ft}{2}[/tex]

[tex]A = 16.5\ ft^2[/tex]

Since we found only one of the right triangles we need to multiply the area that we got by 2 to get the total triangle area.

[tex]A = 16.5\ ft^2 * 2[/tex]

[tex]A = 33\ ft^2[/tex]

Step 3:  Determine the total area

[tex]A_{total} = 99\ ft^2 + 33\ ft^2[/tex]

[tex]A_{total} = 132\ ft^2[/tex]

Answer:  [tex]A_{total} = 132\ ft^2[/tex]

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