Final answer:
The question is incomplete as the length of the garden is unspecified, but the method to find the width, if it's a fraction of the length, involves simple multiplication based on conversion factors between yards and other units. Examples provided demonstrate conversion of yards to feet and inches and calculation of actual lengths from scale measurements.
Step-by-step explanation:
The information given in the student's question seems to have a typo as the length of the rectangular garden is not provided. However, from the list of multiple-choice answers, we can infer that the student is asking for the width of a garden whose length is given and the width is a fraction of that length. Despite the incomplete information, we can still demonstrate how to solve such a problem using the given measurements from the reference list.
For example, if the length of the garden is 4 yards (4yd), we already know that there are 3 feet in a yard. Therefore, the length in feet is calculated by 4 yards × 3 feet/yard, which equals 12 feet.
If the width is also 4 yards, to convert that to inches, we multiply by 36, since there are 36 inches in a yard, resulting in 4 yards × 36 inches/yard = 144 inches.
For measurement conversions like the scale of a map or the scale of a floor plan, you would set up a proportion based on the given scale. For example, if the scale of the map is 1/2 inch equals 5 feet, and the length of the backyard on the map is 2.5 inches, you would use the proportion 0.5 inches/5 feet = 2.5 inches/x feet to solve for the actual length of the backyard.