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To calculate the area of trapezium G, we use the fact that the two trapeziums, F and G, are similar.

### Steps:
1. **Find the ratio of the corresponding sides:**
   The corresponding base lengths of the trapeziums are:
   - Trapezium F has a base of 16 cm.
   - Trapezium G has a base of 30 cm.

   The ratio of their corresponding side lengths is:
   \[
   \text{Scale factor} = \frac{30}{16} = 1.875
   \]

2. **Area ratio of similar figures:**
   For similar shapes, the areas are proportional to the square of the scale factor. Hence, the area of trapezium G can be found by squaring the scale factor and multiplying by the area of trapezium F.

   \[
   \text{Area of G} = (\text{Scale factor})^2 \times \text{Area of F}
   \]
   Substituting the values:
   \[
   \text{Area of G} = (1.875)^2 \times 70 = 3.515625 \times 70 = 246.09375 \, \text{cm}^2
   \]

3. **Final answer:**
   Rounding to 1 decimal place:
   \[
   \text{Area of trapezium G} \approx 246.1 \, \text{cm}^2
   \]

Let me know if you'd like any further clarification or details!

### Related Questions:
1. How would you calculate the height of trapezium G?
2. How does the perimeter of trapezium G compare to trapezium F?
3. Can you explain the formula for the area of a trapezium?
4. What if the height of trapezium G was given, how would that affect the calculation?
5. What are some real-world applications of similar trapeziums in geometry?

**Tip:** When two shapes are similar, their areas are proportional to the square of their corresponding side lengths!

These two trapeziums are similar. Calculate the area of trapezium G. If your answer is a decimal, give it to 1 d.p.

Learn how to calculate the area of trapezium G, which is similar to trapezium F. Using scale factors and geometry formulas, this solution guides students through a step-by-step process, rounding the final answer to 1 decimal place. Suitable for students in Grades 7-9.

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