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:

  1. Rectangle 1 (lower part):

    • Length: 100 meters
    • Width: 60 meters
    • Area: 100×60=6000m2100 \times 60 = 6000 \, \text{m}^2
  2. Rectangle 2 (upper part):

    • Length: 60 meters
    • Width: 60 meters
    • Area: 60×60=3600m260 \times 60 = 3600 \, \text{m}^2

Total Area:

The total area of the figure is the sum of both rectangles: 6000m2+3600m2=9600m26000 \, \text{m}^2 + 3600 \, \text{m}^2 = 9600 \, \text{m}^2

Thus, the area is 9600 square meters.

Would you like more details or further explanation? Here are 5 related questions to deepen your understanding:

  1. How can you verify the dimensions of composite shapes?
  2. How would the area change if one dimension were doubled?
  3. What formula is used to calculate the area of rectangles?
  4. How can you calculate the perimeter of this composite shape?
  5. 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