Question

Find the area of the composite figure.

69 square feet
48 square feet
70 square feet
82 square feet

Answer 1

Answer:

69ft² (69 square feet)

Step-by-step explanation:

8x7=56ft

6x2=12ft

2x1÷2=1ft

56+12+1=69ft²

Answer 2

Answer:

Option A, 69 square feet

Step-by-step explanation:

Step 1:  Determine the area of the rectangle

$A = l * w$

$A = 7\ ft * 8\ ft$

$A = 56\ ft^2$

Step 2:  Determine the area of the second rectangle

$A = l * w$

$A = 6\ ft * 2\ ft$

$A = 12\ ft^2$

Step 3:  Determine the area of the triangle

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

$A = \frac{(7\ ft - 6\ ft)*2\ ft}{2}$

$A = \frac{1\ ft * 2\ ft}{2}$

$A = \frac{2\ ft^2}{2}$

$A = 1\ ft^2$

Step 4:  Determine the total area

$A_{total} = 56\ ft^2 + 12\ ft^2 + 1\ ft^2$

$A_{total}=69\ ft^2$

Answer:  Option A, 69 square feet