1. **State the problem:** Calculate the area of the composite shape that looks like a right-pointing arrow with given dimensions: height 6 ft on the left, width 7 ft at the bottom, vertical segments of 3 ft at top right and bottom right, and a 4 ft horizontal extension at the arrowhead.
2. **Approach:** Break the composite shape into simpler shapes whose areas we can calculate easily, then sum or subtract these areas.
3. **Identify shapes:**
- A large rectangle on the left side with height 6 ft and width 3 ft (since the vertical segments on the right are 3 ft each, the remaining width on the left is 7 ft - 4 ft = 3 ft).
- A smaller rectangle on the right bottom with height 3 ft and width 3 ft.
- A triangle forming the arrowhead with base 4 ft and height 3 ft.
4. **Calculate areas:**
- Area of left rectangle: $6 \times 3 = 18$ ft$^2$
- Area of bottom right rectangle: $3 \times 3 = 9$ ft$^2$
- Area of arrowhead triangle: $\frac{1}{2} \times 4 \times 3 = 6$ ft$^2$
5. **Sum areas:**
Total area = $18 + 9 + 6 = 33$ ft$^2$
6. **Answer:** The area of the composite shape is **33 square feet**.
Composite Area 30E22C
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