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what is the area of this figure? 9 km 7 km 2 km 18 km 9 km 5 km 2 km 2 …

Question

what is the area of this figure? 9 km 7 km 2 km 18 km 9 km 5 km 2 km 2 km

Explanation:

Step1: Split into 3 rectangles

We can divide the figure into three rectangles:

  1. Top rectangle: $9 \text{ km} \times 7 \text{ km}$
  2. Middle rectangle: $(9-2) \text{ km} \times 9 \text{ km}$
  3. Bottom rectangle: $2 \text{ km} \times (18-7-9) \text{ km}$

Step2: Calculate each rectangle's area

  • Area of top rectangle: $9 \times 7 = 63$ km²
  • Area of middle rectangle: $7 \times 9 = 63$ km²
  • Area of bottom rectangle: $2 \times 2 = 4$ km²

Step3: Sum all areas

Total area = $63 + 63 + 4 = 148$ km²

Answer:

148 km²