Math Problem Statement
Solution
To solve the area of this composite shape, let’s break it into two parts:
-
The rectangle at the bottom:
- Width = 8 m
- Height = 4 m
Area of rectangle =
-
The triangle at the top:
- Base = 8 m (same as the width of the rectangle)
- Height = 3 m
Area of triangle =
Total area of the shape:
So, the total area is 44 m².
Would you like more details or have any questions?
Here are five related questions to expand on this topic:
- How do you find the perimeter of this shape?
- How would the area change if the triangle's height was doubled?
- What is the formula for the area of other polygons, like trapeziums or parallelograms?
- How can you divide irregular shapes into simpler parts to calculate their area?
- What are some real-world applications of calculating areas of composite shapes?
Tip: When working with composite shapes, always identify basic shapes like rectangles, triangles, or circles within them to simplify calculations.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of Composite Shapes
Triangles
Rectangles
Formulas
Area of a rectangle = width × height
Area of a triangle = 1/2 × base × height
Theorems
-
Suitable Grade Level
Grades 5-6
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