https://file.aiquickdraw.com/mathbot/file/1730179395662096bpo22.jpg

Tentukan keliling dari gambar di bawah ini!

*
10 points
Captionless Image
154 cm
128 cm
140 cm
200 cm

To find the perimeter (or keliling) of the figure, we need to consider the shapes involved separately: a semicircle and a rectangle.

### Given Information
- **Rectangle dimensions**: \(31 \, \text{cm}\) (length) and \(17 \, \text{cm}\) (width).
- **Semicircle**: The diameter is \(14 \, \text{cm}\), which implies a radius of \(7 \, \text{cm}\) (half of the diameter).

### Steps to Calculate Perimeter
1. **Perimeter of the Rectangle (excluding one side)**:
   - Normally, the perimeter of a rectangle is \(2 \times (\text{length} + \text{width})\).
   - However, we are excluding the 14 cm side (the diameter of the semicircle), so:
     \[
     \text{Rectangle perimeter} = 31 + 17 + 17 = 65 \, \text{cm}
     \]

2. **Perimeter of the Semicircle**:
   - The circumference of a full circle is \(2 \pi r\).
   - For a semicircle, it would be \(\pi r\) plus the diameter (to include the straight edge).
   - Therefore:
     \[
     \text{Semicircle perimeter} = \pi \times 7 + 14 = 7\pi + 14
     \]
   - Using \(\pi \approx 3.14\):
     \[
     \text{Semicircle perimeter} \approx 7 \times 3.14 + 14 = 21.98 + 14 = 35.98 \approx 36 \, \text{cm}
     \]

3. **Total Perimeter**:
   \[
   \text{Total Perimeter} = 65 + 36 = 101 \, \text{cm}
   \]

The closest option to the calculated perimeter would need verification from additional problem constraints.

Tentukan keliling dari gambar di bawah ini!

Learn how to calculate the perimeter of a shape that includes both a rectangle and a semicircle. This problem uses key geometry concepts, including the formulas for the perimeter of a rectangle and the circumference of a semicircle. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation