Math Problem Statement
Calculate the area of the composite figure in the image. The figure is composed of two rectangles with dimensions 100m x 60m and 60m x 60m.
Solution
The image shows a composite figure made up of two rectangles. To calculate the total area, we can break it into two separate rectangles, then sum their areas.
Step-by-step breakdown:
-
Rectangle 1 (lower part):
- Length: 100 meters
- Width: 60 meters
- Area:
-
Rectangle 2 (upper part):
- Length: 60 meters
- Width: 60 meters
- Area:
Total Area:
The total area of the figure is the sum of both rectangles:
Thus, the area is 9600 square meters.
Would you like more details or further explanation? Here are 5 related questions to deepen your understanding:
- How can you verify the dimensions of composite shapes?
- How would the area change if one dimension were doubled?
- What formula is used to calculate the area of rectangles?
- How can you calculate the perimeter of this composite shape?
- How would you divide a more complex shape into simpler parts?
Tip: When calculating the area of composite shapes, breaking them into simpler shapes (like rectangles or triangles) makes the task much easier.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of Composite Shapes
Formulas
Area of a rectangle = length × width
Theorems
Area calculation by decomposition
Suitable Grade Level
Grades 6-8