Find the area of the figure.

Hint: Separate into regular shapes and combine the areas!
Shapes: 2 rectangle
Rectangle 1: 4 in, 8 in and 4 in
Rectangle 2: 4 in, 8 in and 4 in
A = [ ? ] in²
Area Formulas: B x H

1 answer

To find the area of the figure made of two rectangles, we'll calculate the area of each rectangle separately using the formula for the area of a rectangle, which is:

\[ A = B \times H \]

where \(B\) is the base (or width) and \(H\) is the height.

Rectangle 1:

  • Width (B) = 4 inches
  • Height (H) = 8 inches

Calculating the area of Rectangle 1:

\[ A_1 = 4 \text{ in} \times 8 \text{ in} = 32 \text{ in}^2 \]

Rectangle 2:

  • Width (B) = 4 inches
  • Height (H) = 8 inches

Calculating the area of Rectangle 2:

\[ A_2 = 4 \text{ in} \times 8 \text{ in} = 32 \text{ in}^2 \]

Total Area

Now, we combine the areas of both rectangles:

\[ A_{\text{total}} = A_1 + A_2 = 32 \text{ in}^2 + 32 \text{ in}^2 = 64 \text{ in}^2 \]

Thus, the area of the figure is:

\[ A = 64 \text{ in}^2 \]