Math Problem Statement
Solution
To calculate the areas of the two figures, we need to count the number of unit squares in each shape. Each square has a side length of 1 unit, so the area of each figure is simply the number of these squares.
Figure D:
- The shape consists of several unit squares. By counting the squares covered by the shape, we can determine the area.
- It looks like the shape covers 6 unit squares.
Thus, the area of Figure D is 6 units².
Figure E:
- Similarly, for this figure, we count the number of unit squares the shape occupies.
- This shape covers 8 unit squares.
Thus, the area of Figure E is 8 units².
Do you need any further clarification on these calculations, or would you like more detail on how to approach similar problems?
Here are some related questions you might find useful:
- How do you calculate the area of irregular shapes in grid-based problems?
- What are the differences between calculating the area of a regular shape versus an irregular one?
- How can you use geometric transformations to calculate areas?
- What are other methods to calculate area for non-rectangular shapes?
- Can the area be found using integral calculus for certain shapes?
Tip: When working with grid-based shapes, always carefully count the number of squares they cover to ensure an accurate area calculation!
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Math Problem Analysis
Mathematical Concepts
Geometry
Area Calculation
Unit Squares
Formulas
Area = Number of unit squares × (side length)^2
Theorems
Basic area calculation for grid-based shapes
Suitable Grade Level
Grades 5-7