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Purcell Math

Math Methods Grades 4-8

Understanding the Area of a Triangle, Parallelogram, and Square 🎃👻

Happy Halloween! 🎃

Calculating the area of different shapes is an essential skill in geometry. Let’s break down the formulas for finding the area of triangles, parallelograms, and squares, with examples to clarify.

Core Skills

1. Area of a Triangle
Formula: Area = ½ × base × height
Example: Find the area of a triangle with a base of 6 units and a height of 8 units.

\[ \text{Area} = \frac{1}{2} \times 6 \times 8 = \frac{1}{2} \times 48 = 24 \text{ square units} \]

2. Area of a Parallelogram
Formula: Area = base × height
Example: Find the area of a parallelogram with a base of 6 cm, and height of 4 cm.

\[ \text{Area} = 6 \times 4 = 24 \text{ square centimetres} \]

3. Area of a Square
Formula: Area = side length²
Example 1: Find the area of a square with a side length of 3 cm.

\[ \text{Area} = 3^2 = 9 \text{ square centimetres} \]

Example 2: Find the side length of a square if the area is 25 square units.

\[ \text{Side length} = \sqrt{25} = 5 \text{ units} \]

Frightful Finish 👻

Understanding the different area formulas helps you solve various geometric problems. Use these calculations to work with triangles, parallelograms, and squares confidently!

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