Math Problem Statement
Solution
The problem asks to find the shaded area of the rectangle shown in the image. Here's a step-by-step approach:
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Total dimensions of the rectangle:
- The height of the entire rectangle is labeled as 6 units.
- The width of the entire rectangle is labeled as 4 units.
So, the total area of the rectangle can be calculated as:
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Subdivision of the rectangle: The rectangle is divided into smaller parts. It consists of 6 smaller squares or rectangular sections (2 rows and 3 columns).
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Shaded portion: The shaded portion represents 1 out of the 6 sections of the rectangle. Since the entire rectangle is divided into 6 equal parts, the area of each part is:
Thus, the shaded area is 4 square units.
Let me know if you want further details or explanations.
Here are 5 related questions to extend this topic:
- How do you calculate the area of irregularly shaped figures?
- If the entire rectangle was divided into 12 smaller parts, what would the area of each part be?
- What is the perimeter of the entire rectangle?
- If the width of the rectangle were doubled, what would be the new area?
- How can you calculate the area of a triangle if it is part of a composite shape?
Tip: Always check the total dimensions and the number of divisions when working with shaded areas to avoid confusion.
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Math Problem Analysis
Mathematical Concepts
Area calculation
Rectangles
Division of areas
Formulas
Area of a rectangle: length × width
Area of each section: Total area / Number of sections
Theorems
Area theorem of rectangles
Suitable Grade Level
Grades 5-7
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