Final answer:
The width of the rectangle is found by setting up a proportion based on the given length-to-width ratio and the actual length. Solving the proportion using cross-multiplication gives us the width, which is 21 inches.
Step-by-step explanation:
The question asks us to find the width of a rectangle given that the ratio of the rectangle's length to width is 7/5 and that the length is 30 inches. To find the width, we set up a proportion where the length of the rectangle is proportional to 7 units, and the width is proportional to 5 units. Since we know the length (30 inches), we can write this as:
Length: 7/5 = 30/Width
Now, we solve for the Width:
7/Width = 30/5
7/Width = 6
Width = 7/6
Width = 21 inches
Therefore, the width of the rectangle is 21 inches, which corresponds to option A).