Math Problem Statement
Solution
The problem asks to find the area of the irregular figure shown, which consists of two connected rectangles. Let's break it down step by step:
Step 1: Split the figure into two rectangles.
- Rectangle 1: Dimensions are
- Rectangle 2: Dimensions are
Step 2: Calculate the area of each rectangle.
- Area of Rectangle 1:
- Area of Rectangle 2:
Step 3: Add the areas of the two rectangles.
Thus, the area of the figure is .
Would you like further details or have any questions?
Here are 5 related questions to expand your understanding:
- How do you calculate the perimeter of this irregular figure?
- How would the area change if one dimension was doubled?
- Can you find the area of the figure if it had a triangular section added?
- How can you verify if the two rectangles fully cover the entire shape?
- How does breaking complex figures into simple shapes help in real-world scenarios?
Tip: Always check if shapes can be divided into simpler ones for easier calculations.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area Calculation
Rectangles
Formulas
Area of a rectangle = length × width
Theorems
Area Addition Postulate
Suitable Grade Level
Grades 6-8
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