1. **State the problem:** We need to find the area of an irregular polygon composed of multiple rectangles and squares with given side lengths. 2. **Analyze the figure:** The polygon can be divided into simpler rectangles/squares whose areas we can calculate and then sum. 3. **Identify the parts:** - The left vertical side is 30 km. - The right side has segments 17 km, 4 km, and 4 km, totaling 25 km, so the shape steps inward. - Horizontal segments include 5 km, 4 km, 10 km, 4 km, and 10 km. 4. **Divide the figure into rectangles:** - Bottom rectangle: width $5 + 4 + 10 = 19$ km, height $4$ km. - Middle rectangle: width $4 + 10 = 14$ km, height $4$ km. - Top rectangle: width $4$ km, height $17$ km. 5. **Calculate areas:** - Bottom rectangle area: $$19 \times 4 = 76$$ km$^2$ - Middle rectangle area: $$14 \times 4 = 56$$ km$^2$ - Top rectangle area: $$4 \times 17 = 68$$ km$^2$ 6. **Sum the areas:** $$76 + 56 + 68 = 200$$ km$^2$ 7. **Check for missing parts:** The total height is 30 km, but the sum of vertical parts is $4 + 4 + 17 = 25$ km, so there is a remaining rectangle of width 4 km and height $30 - 25 = 5$ km. 8. **Calculate the missing rectangle area:** $$4 \times 5 = 20$$ km$^2$ 9. **Add this to total area:** $$200 + 20 = 220$$ km$^2$ 10. **Final answer:** The area of the figure is **220 square kilometers**.