Math Problem Statement

Which shape shows fewer equal shares?

Solution

The question asks, "Which shape shows fewer equal shares?"

Looking at the two shapes:

  • Shape A is divided into 2 equal triangles by a diagonal.
  • Shape B is divided into 4 equal triangles by both diagonals.

Since Shape A has 2 equal shares and Shape B has 4 equal shares, the shape that shows fewer equal shares is A.

Would you like any further explanation?

Here are 5 follow-up questions to explore this further:

  1. How can we determine if the shares are equal in a shape?
  2. What is the total area of the triangles in each shape?
  3. How do different methods of dividing a shape affect the number of equal shares?
  4. Why is symmetry important when dividing shapes into equal parts?
  5. Can you think of other ways to divide a rectangle into equal parts?

Tip: When dividing a shape, ensure the lines of division create regions with equal areas to have "equal shares."

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Math Problem Analysis

Mathematical Concepts

Geometry
Division of shapes

Formulas

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Theorems

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Suitable Grade Level

Grades 3-5