Math Problem Statement
Area of the following pentagon ABCDE is:
Solution
To calculate the area of the given pentagon , we can break it down into two parts:
-
Rectangle :
- The rectangle has a width of and a height of .
- Area of .
-
Triangle :
- The triangle is isosceles, with a base and height .
- Area of the triangle .
Total Area of the Pentagon:
Thus, the correct answer is:
(1) 96 cm²
Do you want further details or explanations? Here are some related questions to expand your understanding:
- How do we calculate the area of complex shapes systematically?
- What are the properties of an isosceles triangle?
- How is the height of a triangle used in area calculations?
- Can irregular polygons be divided into standard geometric shapes for area calculations?
- How does the Pythagorean theorem apply to finding unknown dimensions in geometry?
Tip: When solving problems involving composite shapes, always divide them into simpler components like triangles, rectangles, or circles for easier calculations.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area Calculation
Composite Shapes
Formulas
Area of rectangle = length × width
Area of triangle = 1/2 × base × height
Theorems
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Suitable Grade Level
Grades 6-8