Math Problem Statement

Calculate the area of the shape below. Give your answer in cm².

Solution

To calculate the area of the given shape, we can divide the irregular shape into two rectangles, calculate their areas separately, and then add them together.

Step 1: Split the Shape

  1. Bottom Rectangle:

    • Width = 6 cm
    • Height = 4 cm
    • Area = 6×4=24cm26 \times 4 = 24 \, \text{cm}^2
  2. Top Rectangle:

    • Width = 4 cm
    • Height = 2 cm
    • Area = 4×2=8cm24 \times 2 = 8 \, \text{cm}^2

Step 2: Add the Areas

Total Area = Area of Bottom Rectangle + Area of Top Rectangle
24+8=32cm224 + 8 = 32 \, \text{cm}^2

Final Answer:

The area of the shape is 32 cm².

Do you want further explanation or a breakdown of the process? Here are some related questions:

  1. How do you determine the dimensions for more complex irregular shapes?
  2. What are the typical steps for splitting shapes into rectangles?
  3. Could this method be applied to other shapes like triangles or circles?
  4. How does scaling affect the calculation of areas?
  5. Are there formulas to directly find the area of more complicated shapes?

Tip: Always verify the units and ensure all dimensions match (e.g., cm² for area).

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation
Decomposing Shapes

Formulas

Area of a rectangle = width × height

Theorems

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Suitable Grade Level

Grades 4-6