https://file.aiquickdraw.com/mathbot/file/1726013827436vyim7k6t.jpg

Let's solve the problems in the image:

### Part a: Rectangle
We are given a rectangle with:
- Length \( l = 5.5 \, \text{cm} \)
- Width \( w = 2 \, \text{cm} \)

**Perimeter of a rectangle** is calculated as:
\[
P = 2(l + w)
\]
Substituting the values:
\[
P = 2(5.5 + 2) = 2(7.5) = 15 \, \text{cm}
\]

**Area of a rectangle** is calculated as:
\[
A = l \times w
\]
Substituting the values:
\[
A = 5.5 \times 2 = 11 \, \text{cm}^2
\]

### Part b: Right Triangle
We are given a right triangle with:
- One leg \( a = 2.8 \, \text{km} \)
- Another leg \( b = 4.9 \, \text{km} \)
- Hypotenuse \( c = 6.9 \, \text{km} \)

**Perimeter of the triangle** is calculated as:
\[
P = a + b + c
\]
Substituting the values:
\[
P = 2.8 + 4.9 + 6.9 = 14.6 \, \text{km}
\]

**Area of a right triangle** is calculated as:
\[
A = \frac{1}{2} \times a \times b
\]
Substituting the values:
\[
A = \frac{1}{2} \times 2.8 \times 4.9 = 6.86 \, \text{km}^2
\]

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Would you like further details or clarification on any step? Here are some related questions for practice:

1. How do you find the perimeter and area of a square?
2. What formula do you use for the area of a circle?
3. Can the Pythagorean theorem be used for any triangle?
4. How does changing the dimensions of a rectangle affect its perimeter and area?
5. If the height of a triangle is doubled, how is its area affected?

**Tip:** In right triangles, the Pythagorean theorem can help verify if the given sides form a right triangle.

Use the given measurements to find the perimeter and area of each figure.

Learn how to calculate the perimeter and area of a rectangle and a right triangle using given measurements. This problem involves geometry concepts, including the Pythagorean Theorem, and is suitable for students in Grades 6-8.

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