Math Problem Statement

What is the area of the shaded shape?

Solution

To find the area of the shaded shape, we can count the number of blue squares since each square represents 1 square unit, as indicated in the diagram.

Let's count:

  • Row 1: 3 shaded squares
  • Row 2: 3 shaded squares
  • Row 3: 4 shaded squares
  • Row 4: 2 shaded squares

Now, adding them together:

3+3+4+2=123 + 3 + 4 + 2 = 12

Thus, the area of the shaded shape is 12 square units.

Would you like any further details on how the area was calculated, or do you have any other questions?

Here are 5 related questions for further exploration:

  1. How would the area change if the shape were mirrored horizontally or vertically?
  2. What is the perimeter of this shaded shape?
  3. Can you divide this shape into smaller rectangles? What are their areas?
  4. How could you calculate the area of irregular shapes using grid methods like this?
  5. How does changing the unit size of each square affect the total area?

Tip: When dealing with grid-based problems, counting squares can give an accurate measure of area, but always ensure you're using the correct unit size.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation
Grid Methods

Formulas

Area = Sum of unit squares

Theorems

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Suitable Grade Level

Grades 3-5