In this problem, you are asked to find the type of quadrilateral formed when the midpoints of the sides of a rectangle (whose diagonal is 65 cm) are connected. You also need to calculate the perimeter of this newly formed quadrilateral.

Explanation:

1. Step 1: Understanding the shape.

   • When the midpoints of the sides of a rectangle are connected, the resulting quadrilateral is always a rhombus (romb in Latvian).

2. Step 2: Calculate the side lengths.

   • In this case, you are given the diagonal of the rectangle, which is 65 cm. The side length of the resulting rhombus will be half the length of the diagonal of the original rectangle.
   • So, each side of the rhombus will be: $\text{Side of rhombus} = \frac{65}{2} = 32.5 \, \text{cm}$

3. Step 3: Calculate the perimeter of the rhombus.

   • Since a rhombus has four equal sides, the perimeter $P$ is: $P = 4 \times 32.5 = 130 \, \text{cm}$

Final Answer:

• Malu garumu summa (Perimeter) is 130 cm.
• Četrstūra veids (Type of quadrilateral) is rombs (rhombus).

Let me know if you would like further details or if you have any questions!

Related questions:

1. How do you find the side lengths of a rectangle if you know the diagonal?
2. What are the properties of a rhombus?
3. How do midpoints of a quadrilateral affect the resulting shape?
4. Can a rectangle's midpoints form any other type of quadrilateral?
5. How does the Pythagorean theorem relate to finding the side lengths from the diagonal?

Tip: Connecting the midpoints of any quadrilateral forms a parallelogram, not always a rhombus.