Instructions
In this worksheet, you will learn how to calculate the area of squares and triangles. Make sure to read the explanations carefully and complete the exercises provided.
Understanding Area
The area of a shape is the amount of space it covers. It is measured in square units. For example, when dealing with lengths measured in meters, the area is expressed in square meters (m²).
Area of a Square
A square is a shape with four equal sides. To calculate the area of a square, you can use the following formula:
Area of a square = side × side
Or, it can also be written as:
Area = side²
For example, if one side of the square is 4 meters long, the area would be:
Area = 4 m × 4 m = 16 m²
Exercise 1: Area of a Square
Find the area of a square with each of the following side lengths:
- 1. Side length: 3 m
Area: __________ m² - 2. Side length: 5 m
Area: __________ m² - 3. Side length: 7 m
Area: __________ m²
Area of a Triangle
A triangle is a shape with three sides. To calculate the area, you can use the following formula:
Area of a triangle = 1/2 × base × height
For example, if the base of a triangle is 6 meters and the height is 4 meters, the area would be:
Area = 1/2 × 6 m × 4 m = 12 m²
Exercise 2: Area of a Triangle
Find the area of a triangle with each of the following dimensions:
- 1. Base: 4 m; Height: 3 m
Area: __________ m² - 2. Base: 8 m; Height: 5 m
Area: __________ m² - 3. Base: 10 m; Height: 6 m
Area: __________ m²
Reflection
Why is understanding the area of shapes important in real life? Write your thoughts below:
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