Math Problem Statement
Solution
It looks like the question asks to find the area of a composite shape based on the measurements provided in the image. Here's a breakdown of the shape, which is a rectangle with a smaller rectangle subtracted:
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Larger Rectangle:
- Height = 20 inches
- Width = 15 inches
- Area of larger rectangle =
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Smaller Rectangle (subtracted):
- Height = 9 inches
- Width = 8 inches
- Area of smaller rectangle =
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Net Area:
- Subtract the area of the smaller rectangle from the larger rectangle:
The total area of the remaining part of the shape is .
Would you like any additional details or have any questions?
Follow-up Questions:
- How can you break down composite shapes to calculate areas easily?
- Why is it necessary to subtract the area of the smaller rectangle?
- How would the area change if the smaller rectangle's dimensions were doubled?
- What are some real-life examples where this type of area calculation is useful?
- Could you use a similar approach to find the perimeter of this shape?
Tip:
When working with composite figures, always identify each distinct shape and calculate their areas separately before adding or subtracting as needed.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of Composite Shapes
Formulas
Area of a rectangle = height × width
Area of composite shape = Area of larger shape - Area of smaller shape
Theorems
Subtraction of areas in composite shapes
Suitable Grade Level
Grades 5-7