Math Problem Statement
Solution
To find the area of the shaded region, we will follow these steps:
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Find the area of the right triangle:
- The right triangle has a base and a height, both measuring 4 yards (yd).
- The area of a triangle is given by the formula:
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Find the area of the rectangle:
- The rectangle has a length of 4 yards and a width of 2 yards.
- The area of the rectangle is given by:
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Subtract the area of the rectangle from the area of the triangle to find the area of the shaded region:
Thus, the area of the shaded region is 0 square yards.
Would you like more details or have any questions about this solution? Here are some related questions to expand your understanding:
- How would the area change if the rectangle had different dimensions?
- What is the formula for finding the area of a right triangle in terms of its base and height?
- Can you find the perimeter of the shaded region?
- How would the calculation change if the triangle was not a right triangle?
- Can the area of a region ever be negative?
Tip: Always check that all parts of the diagram are properly measured and labeled before solving for areas.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area Calculation
Formulas
Area of a triangle: (1/2) * base * height
Area of a rectangle: length * width
Theorems
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Suitable Grade Level
Grades 6-8
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