Math Problem Statement
Calculate the area of this L-shaped figure with dimensions as shown.
Solution
To calculate the area of this L-shaped figure, we can break it down into two rectangles:
-
Rectangle 1 (vertical part):
- Height = 9 cm
- Width = 2 cm
- Area =
-
Rectangle 2 (horizontal part):
- Length = 6 cm
- Width = 2 cm
- Area =
Now, add the areas of these two rectangles to find the total area of the shape:
Total Area = 30 cm²
Would you like more details, or do you have any questions?
Here are some related questions to deepen your understanding:
- How would you find the perimeter of this shape?
- What would the area be if the dimensions were doubled?
- How could you calculate the area of other irregular shapes?
- How would the area change if the vertical rectangle was only 8 cm tall?
- How does breaking shapes down into simpler components help in calculating areas?
Tip: Always look for simple shapes within complex figures to make calculations easier.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area Calculation
Composite Shapes
Formulas
Area = length × width for rectangles
Theorems
Addition of areas of non-overlapping regions
Suitable Grade Level
Grades 5-7