Math Problem Statement
Tentukan keliling dari gambar di bawah ini!
10 points Captionless Image 154 cm 128 cm 140 cm 200 cm
Solution
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: (length) and (width).
- Semicircle: The diameter is , which implies a radius of (half of the diameter).
Steps to Calculate Perimeter
-
Perimeter of the Rectangle (excluding one side):
- Normally, the perimeter of a rectangle is .
- However, we are excluding the 14 cm side (the diameter of the semicircle), so:
-
Perimeter of the Semicircle:
- The circumference of a full circle is .
- For a semicircle, it would be plus the diameter (to include the straight edge).
- Therefore:
- Using :
-
Total Perimeter:
The closest option to the calculated perimeter would need verification from additional problem constraints.
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Math Problem Analysis
Mathematical Concepts
Geometry
Perimeter
Formulas
Perimeter of a rectangle: 2 * (length + width)
Circumference of a circle: 2 * π * radius
Perimeter of a semicircle: π * radius + diameter
Theorems
-
Suitable Grade Level
Grades 7-9
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