Calculating the Perimeter of the Block

Oct 13, 2025 by miodeya.com 39 views

Understanding the Problem

Fiona is planning to jog once around the block she lives on. The block is rectangular in shape and measures 230 yards long and 200 feet wide. To determine how far Fiona will jog in feet, we need to convert the length of the block from yards to feet and then calculate the total distance around the block.

Converting Yards to Feet

There are 3 feet in 1 yard. To convert 230 yards to feet, we multiply 230 by 3.

230 yards × 3 feet/yard = 690 feet

Calculating the Perimeter of the Block

The perimeter of a rectangle is calculated by adding the lengths of all four sides. Since the block is rectangular, we can use the formula:

Perimeter = 2 × (length + width)

In this case, the length is 690 feet (converted from yards) and the width is 200 feet.

Perimeter = 2 × (690 + 200) Perimeter = 2 × 890 Perimeter = 1780 feet

Conclusion

Fiona will jog a total distance of 1780 feet around the block she lives on.

Answer

The correct answer is A. 1780 feet.

Discussion

This problem requires the application of unit conversion and perimeter calculation skills. It is essential to understand the relationship between yards and feet and to apply the correct formula for calculating the perimeter of a rectangle. The problem also requires attention to detail, as the conversion of yards to feet is a critical step in determining the total distance around the block.

Additional Tips

When working with unit conversions, it is essential to understand the relationship between different units and to apply the correct conversion factors.
When calculating the perimeter of a rectangle, it is essential to use the correct formula and to ensure that all sides are included in the calculation.
Attention to detail is critical when working with mathematical problems, as small errors can lead to significant differences in the final answer.
Fiona's Jog: A Math Problem Q&A =====================================

Q: What is the perimeter of a rectangle?

A: The perimeter of a rectangle is the total distance around the rectangle. It is calculated by adding the lengths of all four sides.

Q: How do I convert yards to feet?

A: To convert yards to feet, you multiply the number of yards by 3, since there are 3 feet in 1 yard.

Q: What is the length of the block Fiona lives on?

A: The length of the block Fiona lives on is 230 yards. However, we need to convert this to feet to calculate the perimeter. 230 yards × 3 feet/yard = 690 feet.

Q: What is the width of the block Fiona lives on?

A: The width of the block Fiona lives on is 200 feet.

Q: How do I calculate the perimeter of the block?

A: To calculate the perimeter of the block, you use the formula: Perimeter = 2 × (length + width). In this case, the length is 690 feet and the width is 200 feet.

Q: What is the perimeter of the block?

A: The perimeter of the block is 1780 feet.

Q: Why is it essential to convert yards to feet?

A: It is essential to convert yards to feet because the problem asks for the distance in feet. If we don't convert the yards to feet, we will get an incorrect answer.

Q: What are some common mistakes to avoid when working with unit conversions?

A: Some common mistakes to avoid when working with unit conversions include:

Not understanding the relationship between different units
Not applying the correct conversion factors
Not checking the units of the answer

Q: What are some common mistakes to avoid when calculating the perimeter of a rectangle?

A: Some common mistakes to avoid when calculating the perimeter of a rectangle include:

Not using the correct formula
Not including all sides in the calculation
Not checking the units of the answer

Q: How can I practice my math skills and improve my problem-solving abilities?

A: You can practice your math skills and improve your problem-solving abilities by:

Working on math problems and exercises
Practicing unit conversions and perimeter calculations
Solving real-world problems and applying math concepts to everyday situations

Conclusion

Fiona's jog is a fun and engaging math problem that requires the application of unit conversions and perimeter calculations. By understanding the relationship between yards and feet and by using the correct formula for calculating the perimeter of a rectangle, we can solve this problem and improve our math skills.