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 = [ ? ] in²
Area Formulas: B x H

Answer 1

To find the total area of the figure composed of the three rectangles, we can use the area formula for rectangles, which is:

\[ \text{Area} = \text{Base} \times \text{Height} \]

Let’s calculate the area of each rectangle:

1. Rectangle 1:

   • Base = 16 inches
   • Height = 8 inches
   • Area = \( 16 , \text{in} \times 8 , \text{in} = 128 , \text{in}^2 \)

2. Rectangle 2:

   • Base = 16 inches
   • Height = 8 inches
   • Area = \( 16 , \text{in} \times 8 , \text{in} = 128 , \text{in}^2 \)

3. Rectangle 3:

   • Base = 8 inches
   • Height = 16 inches
   • Area = \( 8 , \text{in} \times 16 , \text{in} = 128 , \text{in}^2 \)

Now, we sum the areas of all three rectangles:

\[ \text{Total Area} = \text{Area of Rectangle 1} + \text{Area of Rectangle 2} + \text{Area of Rectangle 3} \]

\[ \text{Total Area} = 128 , \text{in}^2 + 128 , \text{in}^2 + 128 , \text{in}^2 = 384 , \text{in}^2 \]

Thus, the area of the figure is:

\[ A = [384] , \text{in}^2 \]