Question

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

Answer 1

Answer: A. 76 sq. units

Explanation:

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

`A_p=b_p*h_p`

Where
`b_p` is the base and
`h_p` is the height of the parallelogram

`b_p=14units-3units-3units=8units` and
`h_p=6units`

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

`A_r=b_r*h_r`

Where
`b_r` is the base and
`h_r` is the height of the rectanngle.

`b_r=14units` and
`h_r=2units`

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

`A_f=(8units*6units)+(14units*2units)=76units^(2)`