Find the area of the figure.
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

Answers

There are no human answers yet.
Answered by GPT-4o mini
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:
\[
A = [0.247] \, \text{m}^2
\]

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