Math Problem Statement

Area

Calculate the area of the given complex geometric shape.

Solution

The image appears to show a geometric shape with several connected rectangular sections, each with labeled dimensions. To find the total area, we'll need to break down the shape into simpler parts, calculate the area of each part, and then sum them up.

Steps:

  1. Identify Sections:

    • Let's assume the shape can be divided into three rectangular sections.
  2. Calculate the Area of Each Rectangle:

    • Rectangle 1 (Top horizontal section):
      • Length = 8 cm
      • Width = 2 cm
      • Area = 8×2=168 \times 2 = 16 square cm
    • Rectangle 2 (Vertical section):
      • Length = 8 cm
      • Width = 2 cm
      • Area = 8×2=168 \times 2 = 16 square cm
    • Rectangle 3 (Bottom horizontal section):
      • Length = 8 cm
      • Width = 2 cm
      • Area = 8×2=168 \times 2 = 16 square cm
  3. Add the Areas Together:

    • Total Area = 16+16+16=4816 + 16 + 16 = 48 square cm

However, given the shape is more complex with overlapping regions, I will correct and clarify this by considering the actual structure seen in the image.

Revised Calculation:

  1. Rectangle A (top section):

    • Length = 8 cm, Width = 2 cm
    • Area = 8×2=168 \times 2 = 16 square cm
  2. Rectangle B (vertical section):

    • Length = 8 cm, Width =

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation

Formulas

Area of a Rectangle = Length × Width

Theorems

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Suitable Grade Level

Grades 4-6