Math Problem Statement

Find area

Find area

Solution

To find the area of the shape in the image, we can divide the shape into two simpler rectangles and calculate their areas separately.

  1. Bottom Rectangle:

    • Dimensions: 9 meters by 5 meters.
    • Area of the bottom rectangle = 9×5=45m29 \times 5 = 45 \, \text{m}^2.
  2. Top Rectangle:

    • Dimensions: 1 meter by 4 meters.
    • Area of the top rectangle = 1×4=4m21 \times 4 = 4 \, \text{m}^2.

Finally, to get the total area of the shape, we sum the areas of the two rectangles:

Total area=45m2+4m2=49m2\text{Total area} = 45 \, \text{m}^2 + 4 \, \text{m}^2 = 49 \, \text{m}^2

Thus, the total area is 49 square meters.

Do you have any questions or want further details?

Here are 5 related questions:

  1. How would you calculate the perimeter of this shape?
  2. What happens to the area if the dimensions are doubled?
  3. How can you break down other complex shapes into simpler ones for area calculation?
  4. What is the formula for finding the area of a triangle, and how does it differ from a rectangle?
  5. What are the units of area, and why is it expressed in square meters?

Tip: When calculating areas, always ensure that all the dimensions are in the same units.

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Math Problem Analysis

Mathematical Concepts

Area Calculation
Geometry

Formulas

Area of rectangle = length × width

Theorems

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Suitable Grade Level

Grades 5-7