Math Problem Statement
find shaded area
Solution
To calculate the shaded area of the figure:
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Shape Analysis: The shaded region appears to be a right triangle formed by dividing a square into two halves diagonally.
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Square Dimensions: Count the total grid squares along one side of the square. The grid is , so the side length of the square is 6 units.
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Area of the Square:
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Area of the Triangle: The triangle is half of the square:
Thus, the shaded area is 18 square units.
Would you like further clarification or help with related concepts?
Related Questions:
- How do you find the area of a triangle generally?
- What is the formula for the area of a square and how does it apply here?
- How does dividing shapes diagonally affect their area?
- How would this calculation change if the square were not perfectly divided?
- What are some real-world applications of this type of calculation?
Tip:
Always verify the dimensions or counting in grids to avoid minor miscalculations.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area Calculation
Triangles
Squares
Formulas
Area of a square = side^2
Area of a triangle = (1/2) * base * height
Theorems
Area division of a square by its diagonal results in two equal triangles
Suitable Grade Level
Grades 6-8
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