Find the area of the figure.
Understand the Problem
The question asks to find the area of the L shaped figure. We can divide the shape into two rectangles and then find the area of each before summing them together. The dimensions are in miles, so the area will be in square miles.
Answer
$42 \text{ mi}^2$
Answer for screen readers
$42 \text{ mi}^2$
Steps to Solve
- Divide L-shape into two rectangles
We can divide the L-shape into two rectangles. The top rectangle has dimensions $6 \text{ mi}$ by $3 \text{ mi}$, and the bottom rectangle has dimensions $3 \text{ mi}$ by $8 \text{ mi}$.
- Calculate the area of the top rectangle
The area of a rectangle is length times width. For the top rectangle, the area is: $A_{top} = 6 \text{ mi} \times 3 \text{ mi} = 18 \text{ mi}^2$
- Calculate the area of the bottom rectangle
For the bottom rectangle, the area is: $A_{bottom} = 3 \text{ mi} \times 8 \text{ mi} = 24 \text{ mi}^2$
- Add the areas of the two rectangles
To find the total area of the L-shape, add the areas of the two rectangles: $A_{total} = A_{top} + A_{bottom} = 18 \text{ mi}^2 + 24 \text{ mi}^2 = 42 \text{ mi}^2$
$42 \text{ mi}^2$
More Information
The area of the L-shaped figure is $42 \text{ mi}^2$. This is found by dividing the L-shape into two rectangles, calculating the area of each rectangle, and then summing the areas.
Tips
A common mistake is to incorrectly identify the dimensions of the rectangles, especially if the diagram is not clear, it is important to double check the dimensions and ensure they match the provided ones. Another common mistake is to multiply all the numbers together.
AI-generated content may contain errors. Please verify critical information
