1. **Problem:** Find the area of the L-shaped composite rectangle with outer dimensions 30 ft by 20 ft, a lower-left cutout with left vertical leg width 5 ft and right vertical drop 15 ft. 2. **Formula:** Area of composite shape = Area of large rectangle - Area of cutout rectangle. 3. **Calculate large rectangle area:** $$30 \times 20 = 600$$ ft². 4. **Calculate cutout area:** Height = 20 - 15 = 5 ft, Width = 5 ft. 5. **Cutout area:** $$5 \times 5 = 25$$ ft². 6. **Final area:** $$600 - 25 = 575$$ ft². 1. **Problem:** Find the area of the rectangle with outer dimensions 25 cm by 30 cm and a left-side notch 5 cm wide and 10 cm + 10 cm vertical segments. 2. **Formula:** Area = Area of large rectangle - Area of notch. 3. **Large rectangle area:** $$25 \times 30 = 750$$ cm². 4. **Notch height:** $$10 + 10 = 20$$ cm, width = 5 cm. 5. **Notch area:** $$5 \times 20 = 100$$ cm². 6. **Final area:** $$750 - 100 = 650$$ cm². 1. **Problem:** Find the area of the rectangle with outer dimensions 36 m by 24 m and a bottom-center protruding stem 10 m wide and 14 m high. 2. **Formula:** Area = Area of large rectangle + Area of protruding stem. 3. **Large rectangle area:** $$36 \times 24 = 864$$ m². 4. **Stem area:** $$10 \times 14 = 140$$ m². 5. **Final area:** $$864 + 140 = 1004$$ m². 1. **Problem:** Find the area of the T-shaped composite rectangle with top bar 12 ft by 6 ft and centered stem 8 ft tall and 3 ft wide. 2. **Formula:** Area = Area of top bar + Area of stem. 3. **Top bar area:** $$12 \times 6 = 72$$ ft². 4. **Stem area:** $$3 \times 8 = 24$$ ft². 5. **Final area:** $$72 + 24 = 96$$ ft². 1. **Problem:** Find the area of the T-shaped composite rectangle with top bar 14 yd wide, bottom bar 8 yd tall, center stem 5 yd wide, and side heights 8 yd each. 2. **Formula:** Area = Area of top bar + Area of stem + Area of bottom bar. 3. **Top bar area:** $$14 \times 8 = 112$$ yd². 4. **Stem area:** $$5 \times 8 = 40$$ yd². 5. **Bottom bar area:** $$8 \times 8 = 64$$ yd². 6. **Final area:** $$112 + 40 + 64 = 216$$ yd². 1. **Problem:** Find the area of the step-shaped composite rectangle with bottom width 28 m, right height 18 m, upper step width 12 m, and left step segments 6 m and 10 m. 2. **Formula:** Area = Area of bottom rectangle + Area of upper step. 3. **Bottom rectangle area:** $$28 \times 10 = 280$$ m² (using left step segment 10 m as height). 4. **Upper step area:** $$12 \times 8 = 96$$ m² (right height 18 m - left step 10 m = 8 m). 5. **Final area:** $$280 + 96 = 376$$ m². 1. **Problem:** Find the area of the F-shaped composite rectangle with vertical bar 8 mm tall, top arm 6 mm wide, and small segments 2 mm, 1 mm, and 3 mm. 2. **Formula:** Area = sum of all rectangular parts. 3. **Vertical bar area:** $$1 \times 8 = 8$$ mm² (assuming width 1 mm). 4. **Top arm area:** $$6 \times 2 = 12$$ mm². 5. **Middle arm area:** $$3 \times 1 = 3$$ mm². 6. **Bottom arm area:** $$3 \times 3 = 9$$ mm². 7. **Final area:** $$8 + 12 + 3 + 9 = 32$$ mm². 1. **Problem:** Find the area of the U-shaped composite rectangle with outer dimensions 16 cm by 28 cm, inner cutout 8 cm wide and 18 cm tall, and right leg width 6 cm. 2. **Formula:** Area = Area of outer rectangle - Area of inner cutout. 3. **Outer rectangle area:** $$16 \times 28 = 448$$ cm². 4. **Inner cutout area:** $$8 \times 18 = 144$$ cm². 5. **Final area:** $$448 - 144 = 304$$ cm².