Question

find the area of the shape with side lengths of, 4, 3, 3, 4, 7, 7.the shape looks like an "L"

Answer 1

To find the area of the "L" shaped figure with the given side lengths of 4, 3, 3, 4, 7, and 7, we can break the figure down into two rectangles.

1. **Identify the dimensions of the rectangles**:
- One rectangle can be formed with the longer vertical side (7) and the shorter horizontal side (4). This gives us one rectangle with dimensions 7 (height) × 4 (width).
- The other rectangle can be formed with the shorter vertical side (3) and the remaining horizontal side (3). This gives us a second rectangle with dimensions 3 (height) × 3 (width).

2. **Calculate the area of both rectangles**:
- Area of the first rectangle:
\[
A_1 = 7 \times 4 = 28
\]
- Area of the second rectangle:
\[
A_2 = 3 \times 3 = 9
\]

3. **Combine the areas**:
- Total area of the "L" shape:
\[
A_{total} = A_1 + A_2 = 28 + 9 = 37
\]

Therefore, the area of the "L" shaped figure is **37 square units**.