Math Problem Statement

What are the area and perimeter of the shape made up of a rectangle and a semicircle with dimensions as shown in the diagram?

Solution

The image shows a shape made up of a rectangle and a semicircle. The rectangle has a height of 16 cm and a width of 6 cm. The semicircle's diameter appears to align with the width of the rectangle (6 cm). The goal could involve calculating the area, perimeter, or some other property of this shape. Let me know what you would like to solve!

Would you like to:

  1. Calculate the area of the shape?
  2. Find the perimeter (or boundary length) of the shape?
  3. Analyze the semicircle or rectangle properties separately?
  4. Solve a specific problem involving this diagram?
  5. Determine another property (e.g., diagonal, radius)?

Here's a quick tip: The radius of the semicircle is half its diameter, so here it would be 62=3cm\frac{6}{2} = 3 \, \text{cm}.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation
Perimeter Calculation

Formulas

Area of a rectangle = length × width
Area of a semicircle = (1/2) × π × radius²
Perimeter of a semicircle = π × radius + diameter

Theorems

Basic geometric properties of rectangles and circles

Suitable Grade Level

Grades 6-8