Find The Area Of Shaded Pauction. 30 CM→ 70 7um 300 7am 7cm
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Introduction
In geometry, finding the area of a shaded partition can be a challenging task, especially when dealing with complex shapes and measurements. In this article, we will explore how to find the area of a shaded partition using various mathematical techniques and formulas.
Understanding the Problem
The problem presents a shaded partition with measurements in centimeters (cm) and millimeters (mm). The measurements are as follows:
- 30 cm
- 70 mm
- 300 mm
- 7 cm
To find the area of the shaded partition, we need to understand the shape and dimensions of the partition. The measurements suggest that the partition is a rectangle with a length of 30 cm and a width of 7 cm. However, the measurements in millimeters (70 mm and 300 mm) are not immediately clear.
Converting Measurements to a Common Unit
To simplify the problem, we need to convert all measurements to a common unit, such as centimeters (cm). We can use the following conversion factors:
- 1 cm = 10 mm
Using this conversion factor, we can convert the measurements in millimeters to centimeters as follows:
- 70 mm = 7 cm
- 300 mm = 30 cm
Finding the Area of the Shaded Partition
Now that we have converted all measurements to a common unit, we can find the area of the shaded partition using the formula:
Area = Length x Width
Substituting the values, we get:
Area = 30 cm x 7 cm Area = 210 cm²
Finding the Area of the Unshaded Partition
To find the area of the unshaded partition, we need to subtract the area of the shaded partition from the total area of the rectangle. The total area of the rectangle is:
Total Area = Length x Width Total Area = 30 cm x 30 cm Total Area = 900 cm²
Subtracting the area of the shaded partition, we get:
Area of Unshaded Partition = Total Area - Area of Shaded Partition Area of Unshaded Partition = 900 cm² - 210 cm² Area of Unshaded Partition = 690 cm²
Conclusion
In conclusion, finding the area of a shaded partition requires a clear understanding of the shape and dimensions of the partition. By converting measurements to a common unit and using the formula for area, we can find the area of the shaded partition and the unshaded partition. The area of the shaded partition is 210 cm², and the area of the unshaded partition is 690 cm².
Frequently Asked Questions
Q: What is the formula for finding the area of a shaded partition?
A: The formula for finding the area of a shaded partition is:
Area = Length x Width
Q: How do I convert measurements from millimeters to centimeters?
A: To convert measurements from millimeters to centimeters, you can use the following conversion factor:
- 1 cm = 10 mm
Q: What is the area of the unshaded partition?
A: The area of the unshaded partition is 690 cm².
Q: What is the area of the shaded partition?
A: The area of the shaded partition is 210 cm².
Step-by-Step Solution
Step 1: Convert Measurements to a Common Unit
- Convert measurements in millimeters to centimeters using the conversion factor: 1 cm = 10 mm
Step 2: Find the Area of the Shaded Partition
- Use the formula: Area = Length x Width
- Substitute the values: Area = 30 cm x 7 cm
- Calculate the area: Area = 210 cm²
Step 3: Find the Area of the Unshaded Partition
- Find the total area of the rectangle: Total Area = Length x Width
- Substitute the values: Total Area = 30 cm x 30 cm
- Calculate the total area: Total Area = 900 cm²
- Subtract the area of the shaded partition: Area of Unshaded Partition = Total Area - Area of Shaded Partition
- Calculate the area of the unshaded partition: Area of Unshaded Partition = 900 cm² - 210 cm²
- Calculate the area of the unshaded partition: Area of Unshaded Partition = 690 cm²
Additional Resources
Related Topics
Introduction
In our previous article, we explored how to find the area of a shaded partition using various mathematical techniques and formulas. In this article, we will answer some frequently asked questions related to finding the area of a shaded partition.
Q&A
Q: What is the formula for finding the area of a shaded partition?
A: The formula for finding the area of a shaded partition is:
Area = Length x Width
Q: How do I convert measurements from millimeters to centimeters?
A: To convert measurements from millimeters to centimeters, you can use the following conversion factor:
- 1 cm = 10 mm
Q: What is the area of the unshaded partition?
A: The area of the unshaded partition is 690 cm².
Q: What is the area of the shaded partition?
A: The area of the shaded partition is 210 cm².
Q: How do I find the area of a shaded partition if the measurements are in different units?
A: To find the area of a shaded partition if the measurements are in different units, you need to convert all measurements to a common unit, such as centimeters (cm). You can use the conversion factors to convert the measurements.
Q: Can I use the formula for finding the area of a rectangle to find the area of a shaded partition?
A: Yes, you can use the formula for finding the area of a rectangle to find the area of a shaded partition. The formula is:
Area = Length x Width
Q: What if the shaded partition is not a rectangle?
A: If the shaded partition is not a rectangle, you need to find the area of the shaded partition using the appropriate formula for the shape of the partition.
Q: Can I use a calculator to find the area of a shaded partition?
A: Yes, you can use a calculator to find the area of a shaded partition. However, you need to make sure that the calculator is set to the correct unit of measurement.
Q: How do I check my answer for finding the area of a shaded partition?
A: To check your answer for finding the area of a shaded partition, you can use the following steps:
- Convert all measurements to a common unit, such as centimeters (cm).
- Use the formula for finding the area of a rectangle: Area = Length x Width.
- Calculate the area of the shaded partition.
- Check your answer by using a calculator or by rechecking your calculations.
Additional Tips
- Make sure to convert all measurements to a common unit before finding the area of a shaded partition.
- Use the formula for finding the area of a rectangle to find the area of a shaded partition.
- Check your answer by using a calculator or by rechecking your calculations.
- If the shaded partition is not a rectangle, use the appropriate formula for the shape of the partition.
Conclusion
Finding the area of a shaded partition can be a challenging task, but with the right formulas and techniques, you can find the area with ease. Remember to convert all measurements to a common unit, use the formula for finding the area of a rectangle, and check your answer by using a calculator or by rechecking your calculations.
Frequently Asked Questions
Q: What is the formula for finding the area of a shaded partition?
A: The formula for finding the area of a shaded partition is:
Area = Length x Width
Q: How do I convert measurements from millimeters to centimeters?
A: To convert measurements from millimeters to centimeters, you can use the following conversion factor:
- 1 cm = 10 mm
Q: What is the area of the unshaded partition?
A: The area of the unshaded partition is 690 cm².
Q: What is the area of the shaded partition?
A: The area of the shaded partition is 210 cm².
Step-by-Step Solution
Step 1: Convert Measurements to a Common Unit
- Convert measurements in millimeters to centimeters using the conversion factor: 1 cm = 10 mm
Step 2: Find the Area of the Shaded Partition
- Use the formula: Area = Length x Width
- Substitute the values: Area = 30 cm x 7 cm
- Calculate the area: Area = 210 cm²
Step 3: Find the Area of the Unshaded Partition
- Find the total area of the rectangle: Total Area = Length x Width
- Substitute the values: Total Area = 30 cm x 30 cm
- Calculate the total area: Total Area = 900 cm²
- Subtract the area of the shaded partition: Area of Unshaded Partition = Total Area - Area of Shaded Partition
- Calculate the area of the unshaded partition: Area of Unshaded Partition = 900 cm² - 210 cm²
- Calculate the area of the unshaded partition: Area of Unshaded Partition = 690 cm²