Find the area of the given figure:

To find the area of a given figure, we first need to identify the shape and its dimensions. Different shapes have different formulas for calculating area. Let’s break down the process step by step.

Identifying the Shape

Common geometric shapes include rectangles, triangles, circles, and trapezoids. Each shape has a specific formula:

• Rectangle: Area = length × width
• Triangle: Area = 0.5 × base × height
• Circle: Area = π × radius²
• Trapezoid: Area = 0.5 × (base1 + base2) × height

Gathering Dimensions

Once you identify the shape, the next step is to gather the necessary dimensions. For example, if you have a rectangle, you need to know the length and width. If it’s a triangle, you’ll need the base and height. Make sure to use the same units for all measurements to avoid confusion.

Applying the Formula

After identifying the shape and gathering the dimensions, you can apply the appropriate formula. Let’s consider a couple of examples:

Example 1: Rectangle

Suppose you have a rectangle with a length of 5 meters and a width of 3 meters. The area would be calculated as follows:

Area = length × width = 5 m × 3 m = 15 m²

Example 2: Triangle

Now, let’s say you have a triangle with a base of 4 meters and a height of 6 meters. The area calculation would be:

Area = 0.5 × base × height = 0.5 × 4 m × 6 m = 12 m²

Complex Figures

If the figure is more complex, such as a combination of shapes, you can find the area of each individual shape and then sum them up. For instance, if you have a rectangle and a triangle combined, calculate each area separately and then add them together.

Example 3: Combined Shapes

Imagine a rectangle with a length of 8 meters and a width of 4 meters, and a triangle on top with a base of 4 meters and a height of 3 meters. The areas would be:

• Rectangle Area = 8 m × 4 m = 32 m²
• Triangle Area = 0.5 × 4 m × 3 m = 6 m²

Total Area = Rectangle Area + Triangle Area = 32 m² + 6 m² = 38 m²

Final Thoughts

Finding the area of a figure involves identifying the shape, gathering the necessary dimensions, and applying the correct formula. If you encounter a more complex figure, break it down into simpler shapes, calculate their areas, and sum them up. This systematic approach will help you accurately determine the area of various figures.