To find the area of the shaded region in a rectangle, you need to follow a few simple steps. Here’s a detailed breakdown:
- Identify the Dimensions: First, you must determine the dimensions of the rectangle. Let’s assume the total length of the rectangle is L and the total width is W.
- Identify the Shaded Region: Next, it’s essential to ascertain which part of the rectangle is shaded. This could be a portion of the rectangle’s area, such as a smaller rectangle, a triangle, or any other shape created within the rectangle.
- Calculate the Area of the Entire Rectangle: The total area of the rectangle is calculated using the formula: Area = Length × Width or Area = L × W.
- Calculate the Area of the Unshaded Region: If you know how the shaded region is configured within the rectangle, you should derive the area of the unshaded sections. For example, if the unshaded portion is a rectangle of length l and width w, then use the same area formula: Area = l × w.
- Subtract to Find the Shaded Area: Finally, subtract the area of the unshaded region from the total area of the rectangle: Shaded Area = Total Area – Unshaded Area. This will give you the area of the shaded region.
For example, if the rectangle has a length of 10 units and a width of 5 units, its total area is 50 square units. If the unshaded area is a smaller rectangle measuring 3 units by 2 units (6 square units), the shaded area would be:
Shaded Area = 50 – 6 = 44 square units.
By following these steps, you can accurately calculate the area of the shaded region within any rectangle. Remember to be precise with your measurements and calculations!