Find the area of the composite figure.

602 square centimeters
374 square centimeters
488 square centimeters
469 square centimeters

Find the area of the composite figure 602 square centimeters 374 square centimeters 488 square centimeters 469 square centimeters class=

Respuesta :

Answer:

Option C, 488 square centimeters

Step-by-step explanation:

Step 1:  Determine the area of the rectangle

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

[tex]A = 22\ cm * 17\ cm[/tex]

[tex]A = 374\ cm^2[/tex]

Step 2:  Determine the area of the triangle

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

[tex]A=\frac{19\ cm * (22\ cm-10\ cm)}{2}[/tex]

[tex]A=\frac{19\ cm * (12\ cm)}{2}[/tex]

[tex]A=\frac{228\ cm^2}{2}[/tex]

[tex]A=114\ cm^2[/tex]

Step 3:  Determine the total area

[tex]A_{total} = 374\ cm^2 + 114\ cm^2[/tex]

[tex]A_{total} =488\ cm^2[/tex]

Answer:  Option C, 488 square centimeters

C,488 is the answer
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