Question

Find the area of the composite figure.

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

Answer 1

69ft² (69 square feet)

Explanation:

8x7=56ft

6x2=12ft

2x1÷2=1ft

56+12+1=69ft²

Answer 2

Option A, 69 square feet

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 = (h * b)/(2)`

`A = ((7\ ft - 6\ ft)*2\ ft)/(2)`

`A = (1\ ft * 2\ ft)/(2)`

`A = (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