This image contains a set of geometry problems written in Chinese. I'll help you solve these problems step by step. Here are the questions with translations and solutions:

1. 一个正方形的面积是64平方米，它的面积是多大平方厘米？

• Translation: "The area of a square is 64 square meters. What is the area in square centimeters?"
• Solution:
  $1 \, \text{m}^2 = 10,000 \, \text{cm}^2$ Therefore, the area is: $64 \times 10,000 = 640,000 \, \text{cm}^2$ Answer: 640,000 cm²

2. 一个长方形的长是20厘米，下底长30厘米，面积是多少平方厘米？

• Translation: "The length of a rectangle is 20 cm, the bottom length is 30 cm. What is the area in square centimeters?"
• Solution:
  Area of a rectangle is given by: $\text{Area} = \text{length} \times \text{width}$ Therefore: $\text{Area} = 20 \, \text{cm} \times 30 \, \text{cm} = 600 \, \text{cm}^2$ Answer: 600 cm²

3. 长方形的长是15厘米，周界是44厘米，宽是多少厘米？

• Translation: "The length of a rectangle is 15 cm, and the perimeter is 44 cm. What is the width?"
• Solution:
  The perimeter of a rectangle is given by: $\text{Perimeter} = 2(\text{length} + \text{width})$ Substituting the known values: $44 = 2(15 + \text{width})$ Simplifying: $22 = 15 + \text{width} \implies \text{width} = 22 - 15 = 7 \, \text{cm}$ Answer: 7 cm

4. 等边三角形卡纸的周界是45厘米，把四张等边三角形卡纸拼成一个平行四边形，平行四边形的周界是多少厘米？

• Translation: "The perimeter of an equilateral triangle cardboard is 45 cm. Four such cardboards are put together to form a parallelogram. What is the perimeter of the parallelogram?"
• Solution:
  The perimeter of an equilateral triangle is: $\text{Perimeter of one triangle} = 3 \times \text{side length}$ Since the total perimeter of the triangle is 45 cm: $\text{Side length} = \frac{45}{3} = 15 \, \text{cm}$ When four equilateral triangles form a parallelogram, only two sides remain from the parallelogram's perimeter: $\text{Perimeter of parallelogram} = 2 \times (\text{side length of two triangles}) = 2 \times 15 = 60 \, \text{cm}$ Answer: 60 cm

5. 平行四边形底长5厘米，对应的高是0.02米，面积是多少平方厘米？

• Translation: "The base of a parallelogram is 5 cm, and the corresponding height is 0.02 meters. What is the area in square centimeters?"
• Solution:
  Convert the height into centimeters: $0.02 \, \text{m} = 2 \, \text{cm}$ The area of a parallelogram is given by: $\text{Area} = \text{base} \times \text{height} = 5 \, \text{cm} \times 2 \, \text{cm} = 10 \, \text{cm}^2$ Answer: 10 cm²

Let me know if you need detailed explanations or have any questions about these problems. Here are 5 follow-up questions to expand your understanding:

1. How do you calculate the area of a triangle?
2. If the width of a rectangle is doubled, how does the area change?
3. What is the formula for the perimeter of a parallelogram?
4. How can you find the height of a triangle if only its area and base are known?
5. What would be the area of a square with a side length of 7 meters?

Tip: Always check the units before calculating areas or perimeters to avoid mistakes!