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Exploring the Relationship Between Areas of Quadrilaterals and Triangles

This document analyzes the geometrical relationships between the areas of various quadrilaterals and triangles. It presents data on the base and height measurements of both shapes, along with their calculated areas. The study includes specific examples, such as different quadrilateral and triangle configurations with corresponding dimensions and areas. Furthermore, it concludes with insights on how the area of a triangle can be derived from its base and height, drawing comparisons to quadrilateral calculations, and explores the mathematical relationship between the areas of these shapes.

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Exploring the Relationship Between Areas of Quadrilaterals and Triangles

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  1. Quadrilateral A Base: Height: Area: Triangle A Base: Height: Area: Quadrilateral A Triangle A

  2. Quadrilateral B Base: Height: Area: Triangle B Base: Height: Area: Quadrilateral B Triangle B

  3. Quadrilateral C Base: Height: Area: Triangle C Base: Height: Area: Quadrilateral C Triangle C

  4. Quadrilateral D Base: Height: Area: Triangle D Base: Height: Area: Quadrilateral D Triangle D

  5. Data and Observations 11 cm 5cm 55cm2 11 cm 5cm 27.5cm2 8 cm 8cm 64cm2 8 cm 8cm 32cm2 12 cm 2 cm 24 cm2 12 cm 2 cm 12 cm2 10 cm 5 cm 50 cm2 10 cm 5 cm 25 cm2

  6. Analysis:What is the relationship between the area of the quadrilaterals and the area of the triangles?

  7. Conclusion:The area of a triangle can be calculated by…

  8. Area of a Quadrilateral (Square, Rectangle) Area of a Triangle = base x height = b x h = base x height 2 = b x h 2

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