Math Problem Statement

Calculate the area of two figures (D and E), where each square has a side length of 1 unit.

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:

  1. How do you calculate the area of irregular shapes in grid-based problems?
  2. What are the differences between calculating the area of a regular shape versus an irregular one?
  3. How can you use geometric transformations to calculate areas?
  4. What are other methods to calculate area for non-rectangular shapes?
  5. 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