https://file.aiquickdraw.com/mathbot/file/17301257742914xbtiqc0.jpg

Let's go through the questions in the image step-by-step:

### Question 1
1. **Draw a sketch of your bedroom** and label each part. Then, identify and write down:
   - **Two pairs of parallel lines**
   - **Two pairs of intersecting lines**
   - **Two pairs of perpendicular lines**

   *Note*: This question requires you to analyze the layout of your own room and find lines in the layout that meet the specified relationships.

### Question 2
#### Part a
- **Find the perimeter of the shape** given:
  - \( AC = 24 \) cm
  - \( OB = 9 \) cm

  The shape here appears to be a semicircle combined with a triangle. Here’s how you can find the perimeter:
  1. The diameter of the semicircle is \( AC = 24 \) cm, so the radius \( r = \frac{24}{2} = 12 \) cm.
  2. The circumference of the semicircle (half of a full circle) is:
     \[
     \frac{1}{2} \times 2\pi r = \pi \times 12 = 12\pi \text{ cm}
     \]
  3. Add the lengths of \( AC \) and the two triangle sides \( OB \) to get the total perimeter.

#### Part b
- **Calculate the circumference of a circle containing a square** with a side length of 5 cm.
  - The diagonal of the square becomes the diameter of the circle.
  - The diagonal \( d \) of a square with side length \( s \) is given by \( d = s\sqrt{2} \).
  - Therefore, \( d = 5\sqrt{2} \) cm.
  - The circumference of the circle is then:
    \[
    \text{Circumference} = \pi d = \pi \times 5\sqrt{2} = 5\sqrt{2}\pi \text{ cm}
    \]

### Question 3
- **Calculate the area of the land and its selling price**:
  - The shape given is a trapezoid with parallel sides \( AB = 6 \) m and \( CD = 8 \) m, and the height \( h = 12 \) m.
  - The area \( A \) of a trapezoid is given by:
    \[
    A = \frac{1}{2} \times (AB + CD) \times h = \frac{1}{2} \times (6 + 8) \times 12 = 84 \text{ m}^2
    \]
  - The selling price is then:
    \[
    \text{Price} = 84 \times 1,500,000 = 126,000,000 \text{ IDR}
    \]

### Question 4
- **Draw the net of a rectangular prism** with:
  - Length = 7 cm
  - Width = 4 cm
  - Height = 3 cm

The net should include six faces: two faces each of sizes \( 7 \times 4 \), \( 7 \times 3 \), and \( 4 \times 3 \).

---

Would you like detailed solutions for each step? Here are some follow-up questions you may find helpful:

1. How is the perimeter of a semicircle with a triangle calculated?
2. What’s the formula for the area of a trapezoid?
3. Why is the diagonal used to determine the circle size in Question 2b?
4. How does the net of a prism relate to its surface area?
5. What are the applications of these geometric principles?

**Tip**: Always double-check units in area and perimeter problems to ensure accuracy.

Solve questions from the image, including calculating perimeters, area of land, and drawing a net for a rectangular prism.

Solve geometry problems involving perimeter of semicircles, area of trapezoidal land, and drawing the net of a rectangular prism. Suitable for middle school students studying basic geometry concepts.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation