Question

Find the area of the composite figure.

Answer 1

C,488 is the answer

Answer 2

Answer:

Option C, 488 square centimeters

Step-by-step explanation:

Step 1:  Determine the area of the rectangle

$A = l * w$

$A = 22\ cm * 17\ cm$

$A = 374\ cm^2$

Step 2:  Determine the area of the triangle

$A=\frac{h*b}{2}$

$A=\frac{19\ cm * (22\ cm-10\ cm)}{2}$

$A=\frac{19\ cm * (12\ cm)}{2}$

$A=\frac{228\ cm^2}{2}$

$A=114\ cm^2$

Step 3:  Determine the total area

$A_{total} = 374\ cm^2 + 114\ cm^2$

$A_{total} =488\ cm^2$

Answer:  Option C, 488 square centimeters