Math Problem Statement
find the area
Solution
To find the area of the given L-shaped figure, we can break it down into two rectangles, calculate the area of each rectangle, and then sum those areas.
Step-by-Step Solution:
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Identify the Dimensions:
- The L-shape can be split into two rectangles.
- The first (upper) rectangle has dimensions .
- The second (lower) rectangle has dimensions .
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Calculate the Areas:
- Area of the first (upper) rectangle:
- Area of the second (lower) rectangle:
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Sum the Areas:
Thus, the area of the L-shaped figure is 510 square yards.
Would you like more details, or do you have any other questions?
Related Questions:
- How do you find the perimeter of an L-shaped figure?
- What is the formula for the area of a rectangle?
- How can you calculate the area of more complex polygons by decomposing them into simpler shapes?
- What are some other methods for finding the area of irregular shapes?
- How do you convert the area from square yards to square feet?
- Can the area calculation be simplified if the dimensions were given in different units (e.g., feet and inches)?
- How would the calculation change if the shape was rotated or mirrored?
- What are practical applications of finding areas of irregular shapes in real life?
Tip: When working with composite shapes, breaking them down into smaller, familiar shapes (like rectangles) often makes calculations easier.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area Calculation
Rectangles
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9