1.
How many feet are there in one yard?
Answer:
3
Explanation:
The fundamental conversion between yards and feet in the Imperial system is that one yard equals three feet. This relationship is defined based on historical measurements that standardized the yard during the development of the Imperial system. Understanding this conversion is essential for various applications, such as fabric measurements, landscaping, and construction, where precise length conversions are necessary. Accurately knowing that three feet make one yard allows for seamless conversions and calculations in scenarios requiring measurements in both units, facilitating efficient planning and execution of tasks that involve linear measurements.
2.
To fence a square garden that measures 5 yards on each side, how many yards of fencing is needed?
Answer:
15
Explanation:
A square garden that measures 5 yards on each side has a perimeter calculation based on the formula for the perimeter of a square, which is 4 times the length of one side. Therefore, 4 times 5 yards results in a total of 20 yards. This specific amount of fencing would be needed to enclose the entire garden, demonstrating the practical application of basic geometry in everyday tasks such as garden planning or fencing installations, where understanding the dimensions and subsequent perimeter calculations directly influences the amount of materials required.
3.
Convert 300 feet to yards.
Answer:
100
Explanation:
To convert feet to yards, the standard conversion factor is that one yard equals three feet. Using this conversion factor, 300 feet divided by 3 results in 100 yards. This conversion is crucial in fields like engineering, where precise measurement conversions are needed to ensure accurate planning and resource allocation. The ability to convert between these units seamlessly is also fundamental in sports, construction, and many aspects of design and layout, where measurements are often provided in one unit and must be converted to another for practical application.
4.
A rectangular field is 90 yards long and 50 yards wide. What is the perimeter of the field?
Answer:
280 to 290 yards
Explanation:
Calculating the perimeter of a rectangular field involves adding together the lengths of all four sides. For a field 90 yards long and 50 yards wide, the perimeter calculation would be 2 times (90 + 50) yards, which gives 280 yards. This range allows for slight variations in measurement or estimation, which is common in larger scale projects like field construction or landscaping. Understanding how to calculate perimeter is essential in these fields to determine the amount of materials needed for fencing or to plan the layout of sports fields and other large spaces.
5.
If a roll of fabric is 45 yards long, how many feet of fabric is there?
Answer:
135
Explanation:
The conversion of yards to feet, where one yard is equivalent to three feet, is applied here. Thus, a roll of fabric that is 45 yards long translates to 45 times 3 feet, which equals 135 feet. This conversion is vital in industries like fashion and interior design, where materials like fabric are typically measured in yards but may need to be considered in feet for certain applications, such as cutting specific lengths or planning layouts within spaces that are dimensioned in feet.
6.
How many yards are there in half a mile?
Answer:
880
Explanation:
A mile is defined as 1760 yards. Therefore, half a mile is 880 yards. This exact conversion is critical for various applications such as athletics where track events are measured in yards, or in land surveying and civil engineering where large distances might be involved. Understanding and using these conversions accurately ensures clarity and uniformity in communication and documentation across different tasks and industries where distance measurements are crucial.
7.
If you need to lay sod on a garden that is 20 feet by 30 feet, how many square yards are needed?
Answer:
60 to 70
Explanation:
To convert from square feet to square yards, the area in square feet must be divided by nine because one square yard equals nine square feet. For a garden that is 20 feet by 30 feet, the area in square feet is 600. Dividing 600 by 9 results in approximately 66.67 square yards. This calculation is essential for projects involving laying materials like sod or flooring where materials are often sold by the square yard, making it crucial to understand how to convert and calculate the area in the necessary units accurately.
8.
A runner jogs 3 miles. How many yards did she jog?
Answer:
15840
Explanation:
In athletic or navigational contexts, understanding distance conversions between miles and yards can be crucial. Three miles equal 5280 times 3 feet, and since one yard equals three feet, this converts to 5280 times 3 divided by 3 yards, which simplifies to 5280 yards. This precise calculation is key in disciplines such as track and field or in navigation where distances are often discussed in terms of miles but need practical conversion to yards for detailed planning or tracking.
9.
You are measuring a 4-yard-wide fabric. How many inches wide is the fabric?
Answer:
144
Explanation:
The width of fabric measured in yards needs to be converted to inches for applications in sewing or sale. One yard is 36 inches; therefore, fabric that is 4 yards wide is 4 times 36 inches, which equals 144 inches. This precise measurement is crucial in the textile industry where fabric dimensions are typically given in yards, but sewing specifications may require dimensions in inches. This conversion allows for precise cutting and usage of fabric based on varying requirements.
10.
How many yards of thread are needed if you are sewing a seam that is 180 inches long?
Answer:
50
Explanation:
When converting inches to yards in sewing, understanding that one yard equals 36 inches is key. Therefore, a seam that is 180 inches long converts to 180 divided by 36, which equals 5 yards. This conversion is particularly important in tailoring and fabric crafts where precise measurements are needed to ensure adequate material is available without significant waste. This measurement precision helps maintain efficiency and cost-effectiveness in projects requiring fabric measured in yards but worked upon in inch-based dimensions.