Find the area of the figure.

Question

Hint: Separate into regular shapes and combine the areas!
Shapes: 3 rectangles
Rectangle 1: 16 in and 8 in
Rectangle 2: 16 in and 8 in
Rectangle 3: 8 in, 16 in and 8 in
A = [ ? ] in²
Area Formulas: B x H

Answer 1

To find the total area of the figure made up of three rectangles, we'll calculate the area of each rectangle and then sum the areas.

Rectangle 1:

• Width (B) = 16 in
• Height (H) = 8 in
• Area (A₁) = B × H = 16 in × 8 in = 128 in²

Rectangle 2:

• Width (B) = 16 in
• Height (H) = 8 in
• Area (A₂) = B × H = 16 in × 8 in = 128 in²

Rectangle 3:

• Width (B) = 8 in
• Height (H) = 16 in
• Area (A₃) = B × H = 8 in × 16 in = 128 in²

Total Area:

Now, we sum the areas of all three rectangles: \[ \text{Total Area} = A₁ + A₂ + A₃ = 128 in² + 128 in² + 128 in² = 384 in² \]

Final Answer:

The total area of the figure is \( A = 384 \) in².