Find the area of the figure.

Question

Hint: Separate into regular shapes and combine the areas!
Shapes: 3 Rectangle
Rectangle 1: 16 in and 8 in
Rectangle 2: 16 in and 8 in
Rectangle 3: 8 in, 16 in and 8 in
A = [ ? ] m²
Area Formulas: B x H and B x H/2

Answer 1

To find the area of the figure made up of three rectangles, we can calculate the area of each rectangle separately and then combine the areas.

Rectangle 1:

• Dimensions: 16 in x 8 in
• Area: \( A_1 = B \times H = 16 , \text{in} \times 8 , \text{in} = 128 , \text{in}^2 \)

Rectangle 2:

• Dimensions: 16 in x 8 in
• Area: \( A_2 = B \times H = 16 , \text{in} \times 8 , \text{in} = 128 , \text{in}^2 \)

Rectangle 3:

• Dimensions: 8 in x 16 in (it appears this is the same as 16 in x 8 in)
• Area: \( A_3 = B \times H = 8 , \text{in} \times 16 , \text{in} = 128 , \text{in}^2 \)

Total Area:

Now, we combine the areas of the three rectangles:

\[ A_{\text{total}} = A_1 + A_2 + A_3 = 128 , \text{in}^2 + 128 , \text{in}^2 + 128 , \text{in}^2 = 384 , \text{in}^2 \]

Convert to m²:

To convert from square inches to square meters, we use the conversion factor: \(1 , \text{in}^2 = 0.00064516 , \text{m}^2\)

Thus,

\[ A_{\text{total}} = 384 , \text{in}^2 \times 0.00064516 , \text{m}^2/\text{in}^2 = 0.247 , \text{m}^2 \]

Final Answer:

The area of the figure is approximately: \[ A = [0.247] , \text{m}^2 \]