The composite figure is made up of a parallelogram and a rectangle. Find the area.

A. 76 sq. units
B. 48 sq. units
C. 124 sq. units
D. 28 sq. units

The composite figure is made up of a parallelogram and a rectangle Find the area A 76 sq units B 48 sq units C 124 sq units D 28 sq units class=

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Answer: A. 76 sq. units


Step-by-step explanation:

1. You can use the following formula for calcualte the area of the parallelogram:

[tex]A_p=b_p*h_p[/tex]

Where [tex]b_p[/tex] is the base and  [tex]h_p[/tex] is the height of the parallelogram

[tex]b_p=14units-3units-3units=8units[/tex] and [tex]h_p=6units[/tex]

2. The formula for calculate the area of a rectangle is:

[tex]A_r=b_r*h_r[/tex]

Where  [tex]b_r[/tex] is the base and  [tex]h_r[/tex] is the height of the rectanngle.

[tex]b_r=14units[/tex]  and [tex]h_r=2units[/tex]  

3. Then, the area of the figure is the sum of the area of the parallelogram and the area of the rectangle:

[tex]A_f=(8units*6units)+(14units*2units)=76units^{2}[/tex]