Answer:
To find the area of this irregular figure, you can break it down into simpler shapes and then sum up their areas.
1. Let's first group the measurements:
- Group 1: 7 in x 2 in (Rectangle)
- Group 2: 3 in x 3 in (Square)
- Group 3: 4 in x 8 in (Rectangle)
- Group 4: 14 in x 3 in (Rectangle)
2. Calculate the area of each group:
- Group 1: \( 7 \text{ in} \times 2 \text{ in} = 14 \text{ in}^2 \)
- Group 2: \( 3 \text{ in} \times 3 \text{ in} = 9 \text{ in}^2 \)
- Group 3: \( 4 \text{ in} \times 8 \text{ in} = 32 \text{ in}^2 \)
- Group 4: \( 14 \text{ in} \times 3 \text{ in} = 42 \text{ in}^2 \)
3. Sum up the areas:
\[ 14 \text{ in}^2 + 9 \text{ in}^2 + 32 \text{ in}^2 + 42 \text{ in}^2 = 97 \text{ in}^2 \]
So, the total area of the figure is \( 97 \text{ in}^2 \).
