https://file.aiquickdraw.com/mathbot/file/1727379909540kokjk9tz.jpg

In this problem, Trapezoid \( G \) is a scaled copy of Trapezoid \( F \). You are tasked with finding the value of \( h \), the height of Trapezoid \( G \), using the dimensions of both trapezoids.

### Given:
- Trapezoid \( F \): height = 28, side = 20
- Trapezoid \( G \): side = 25, height = \( h \) (unknown)

To solve this, we need to use the fact that these two trapezoids are similar. In similar figures, the ratio of corresponding sides is constant. This gives us the proportion:

\[
\frac{20}{25} = \frac{28}{h}
\]

Now, let's solve for \( h \):

1. Cross-multiply to clear the fraction:
\[
20h = 28 \times 25
\]

2. Simplify:
\[
20h = 700
\]

3. Divide both sides by 20 to solve for \( h \):
\[
h = \frac{700}{20} = 35
\]

### Final Answer:
The value of \( h \) is 35.

Would you like a detailed breakdown of the steps? Let me know if you have any further questions! Here are some related questions you can explore:

1. What is the ratio of the areas of the two trapezoids?
2. How would the problem change if only the bases of the trapezoids were scaled?
3. What is the ratio of perimeters of Trapezoid \( F \) and \( G \)?
4. How do you find the area of a trapezoid, and what would be the areas of both trapezoids?
5. How does the concept of scale factor apply to other polygons like triangles or rectangles?

**Tip:** When working with similar figures, always remember that corresponding sides are proportional!

Trapezoid G is a scaled copy of trapezoid F. Given that trapezoid F has a height of 28 and a side length of 20, and trapezoid G has a side length of 25, what is the value of h (the height of trapezoid G)?

Learn how to find the height of trapezoid G, a scaled copy of trapezoid F, using the properties of similar figures and proportional relationships. The problem involves calculating the unknown height using the given side lengths. Suitable for Grade 7 students learning about geometry and similar figures.

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