Understanding the Target Length

Oct 13, 2025 by miodeya.com 98 views

Introduction

In various fields such as construction, engineering, and everyday life, understanding and converting different units of length is crucial. In this article, we will delve into the world of length conversions, focusing on the task of selecting all lengths that are equal to 3 yards 16 inches. We will explore the given options, convert them to a common unit, and determine which ones match the target length.

Understanding the Target Length

The target length is 3 yards 16 inches. To make it easier to work with, we can convert this length to a single unit, such as inches. Since 1 yard is equal to 36 inches, we can convert 3 yards to inches as follows:

3 yards = 3 x 36 inches = 108 inches

Adding the 16 inches, we get:

108 inches + 16 inches = 124 inches

So, the target length in inches is 124 inches.

Analyzing Option A

Option A is 124 inches. Since we have already determined that the target length is 124 inches, this option is a direct match.

Analyzing Option B

Option B is 4 yards 4 inches. To convert this length to inches, we can multiply the number of yards by 36 and add the number of inches:

4 yards = 4 x 36 inches = 144 inches Adding the 4 inches, we get: 144 inches + 4 inches = 148 inches

Since 148 inches is not equal to 124 inches, Option B is not a match.

Analyzing Option C

Option C is $3 \, \text{yd} \, 1 \frac{1}{2} \, \text{ft}$ . To convert this length to inches, we need to convert the feet to inches first. Since 1 foot is equal to 12 inches, we can convert 1.5 feet to inches as follows:

1.5 feet = 1.5 x 12 inches = 18 inches

Now, we can convert the yards to inches:

3 yards = 3 x 36 inches = 108 inches

Adding the 18 inches, we get:

108 inches + 18 inches = 126 inches

Since 126 inches is not equal to 124 inches, Option C is not a match.

Analyzing Option D

Option D is 2 yards 52 inches. To convert this length to inches, we can multiply the number of yards by 36 and add the number of inches:

2 yards = 2 x 36 inches = 72 inches Adding the 52 inches, we get: 72 inches + 52 inches = 124 inches

Since 124 inches is equal to the target length, Option D is a match.

Analyzing Option E

Option E is 10 feet 4 inches. To convert this length to inches, we can multiply the number of feet by 12 and add the number of inches:

10 feet = 10 x 12 inches = 120 inches Adding the 4 inches, we get: 120 inches + 4 inches = 124 inches

Since 124 inches is equal to the target length, Option E is a match.

Conclusion

In this article, we have analyzed five different options and determined which ones are equal to 3 yards 16 inches. We have converted each option to a common unit, such as inches, and compared it to the target length. The options that match the target length are:

Option A: 124 inches
Option D: 2 yards 52 inches
Option E: 10 feet 4 inches

Q: What is the difference between yards and feet?

A: Yards and feet are two different units of length. 1 yard is equal to 3 feet. To convert yards to feet, you can multiply the number of yards by 3. For example, 2 yards is equal to 2 x 3 feet = 6 feet.

Q: How do I convert inches to feet?

A: To convert inches to feet, you can divide the number of inches by 12. For example, 24 inches is equal to 24 ÷ 12 = 2 feet.

Q: What is the relationship between yards and inches?

A: 1 yard is equal to 36 inches. To convert yards to inches, you can multiply the number of yards by 36. For example, 2 yards is equal to 2 x 36 inches = 72 inches.

Q: How do I convert feet to yards?

A: To convert feet to yards, you can divide the number of feet by 3. For example, 6 feet is equal to 6 ÷ 3 = 2 yards.

Q: What is the difference between a fraction of a yard and a fraction of a foot?

A: A fraction of a yard is equal to a fraction of 36 inches, while a fraction of a foot is equal to a fraction of 12 inches. For example, 1/2 yard is equal to 1/2 x 36 inches = 18 inches, while 1/2 foot is equal to 1/2 x 12 inches = 6 inches.

Q: How do I add or subtract lengths in different units?

A: To add or subtract lengths in different units, you need to convert them to a common unit first. For example, to add 2 yards and 1 foot, you can convert the yards to feet (2 yards = 6 feet) and then add the feet (6 feet + 1 foot = 7 feet).

Q: Can I convert a length from one unit to another using a calculator?

A: Yes, you can use a calculator to convert a length from one unit to another. Most calculators have a conversion function that allows you to enter the length in one unit and get the equivalent length in another unit.

Q: Why is it important to understand and convert different units of length?

A: Understanding and converting different units of length is important in various fields such as construction, engineering, and everyday life. It allows you to accurately measure and compare lengths, which is crucial in many applications.

Q: Can I use online conversion tools to convert lengths?

A: Yes, there are many online conversion tools available that allow you to convert lengths from one unit to another. These tools can be useful if you need to convert a length quickly and easily.

Q: How do I choose the right unit of length for a particular application?

A: The right unit of length for a particular application depends on the specific requirements of the project. For example, in construction, it is often more convenient to use feet and inches, while in engineering, it is often more convenient to use yards and feet.