1. **Problem statement:** We have a right-angled triangle and an isosceles triangle joined together. The equal sides of the isosceles triangle are 25 cm each, and the base of the right-angled triangle is 16 cm. We need to find the cost of leveling the land at the rate of 160 per square meter. 2. **Understanding the problem:** We need to find the total area of the combined figure (right-angled triangle + isosceles triangle) and then calculate the cost based on the area. 3. **Step 1: Find the base of the isosceles triangle.** Since the isosceles triangle has two equal sides of 25 cm, and it is joined with the right-angled triangle whose base is 16 cm, we assume the base of the isosceles triangle is also 16 cm (common side). 4. **Step 2: Calculate the height of the isosceles triangle.** Using the Pythagorean theorem for the isosceles triangle: $$h = \sqrt{25^2 - \left(\frac{16}{2}\right)^2} = \sqrt{625 - 64} = \sqrt{561} \approx 23.7 \text{ cm}$$ 5. **Step 3: Calculate the area of the isosceles triangle.** $$A_{iso} = \frac{1}{2} \times 16 \times 23.7 = 8 \times 23.7 = 189.6 \text{ cm}^2$$ 6. **Step 4: Calculate the area of the right-angled triangle.** Assuming the height of the right-angled triangle is the same as the base of the isosceles triangle (16 cm), and base is 16 cm: $$A_{right} = \frac{1}{2} \times 16 \times 16 = 128 \text{ cm}^2$$ 7. **Step 5: Calculate the total area in cm².** $$A_{total} = 189.6 + 128 = 317.6 \text{ cm}^2$$ 8. **Step 6: Convert area to square meters.** Since 1 m = 100 cm, 1 m² = 10000 cm²: $$A_{total} = \frac{317.6}{10000} = 0.03176 \text{ m}^2$$ 9. **Step 7: Calculate the cost of leveling the land.** $$\text{Cost} = 0.03176 \times 160 = 5.0816$$ **Final answer:** The cost of leveling the land is approximately 5.08 (units of currency).