1. **State the problem:** We have two similar shapes, F and G. Shape F has a perimeter of 14 cm and a height of 2 cm. Shape G has a height of 20 cm. We need to calculate the perimeter of shape G. 2. **Identify the scale factor:** Since the shapes are similar, their corresponding lengths are proportional. The height of G is 20 cm, and the height of F is 2 cm. 3. **Calculate the scale factor from F to G:** $$\text{scale factor} = \frac{\text{height of G}}{\text{height of F}} = \frac{20}{2} = 10$$ 4. **Use the scale factor to find the perimeter of G:** Perimeter scales directly with the linear scale factor for similar shapes. $$\text{Perimeter of G} = \text{Perimeter of F} \times \text{scale factor} = 14 \times 10 = 140\ \text{cm}$$ **Final answer:** The perimeter of shape G is $140$ cm.