Math Problem Statement
Solution
To calculate the area of this shape, we can break it down into two rectangles:
-
Rectangle A (larger section):
- Width = 4 cm
- Height = 7 cm
- Area of Rectangle A =
-
Rectangle B (smaller section on the right):
- Width = 2 cm
- Height = 6 cm
- Area of Rectangle B =
Total Area of the Shape:
Now, add the areas of the two rectangles:
Therefore, the area of the shape is 40 cm².
Would you like more details or have any questions?
Here are some related questions you might find helpful:
- How do you calculate the perimeter of a composite shape like this?
- How would the area change if one of the dimensions increased by 50%?
- Can you solve for the area of other shapes by dividing them into rectangles?
- What if this shape was three-dimensional? How would you calculate the volume?
- What techniques can be used to find areas of irregular shapes?
Tip: Breaking complex shapes into simpler parts like rectangles or triangles is often the easiest way to calculate their area accurately.
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Math Problem Analysis
Mathematical Concepts
Area calculation
Composite shapes
Rectangles
Formulas
Area of a rectangle: width × height
Theorems
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Suitable Grade Level
Grades 6-8
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