Final answer:
To find the missing dimension for a rectangle with dimensions of 3.5 inches by ? inches that is proportional to a rectangle with dimensions of 12 inches by 20 inches, we divide the product of 12 inches and 20 inches (240 square inches) by 3.5 inches, resulting in 68.57 inches. The correct dimension is not listed among the options provided.
Step-by-step explanation:
To find the missing dimension given the scenario of a cross product of two sets of dimensions, 3.5 inches by ? inches and 12 inches by 20 inches, we can set up a proportion based on the assumption that the two sets are similar in shape (like rectangles). If we assume the products of corresponding sides should be equal, then we can write the proportion as:
3.5 inches × ? inches = 12 inches × 20 inches
To solve for the missing dimension, we need to divide the product of 12 inches and 20 inches by 3.5 inches:
(12 inches × 20 inches) / 3.5 inches = ? inches
240 inches2 / 3.5 inches = 68.57 inches
Therefore, the missing dimension needed to achieve the same product of length times width as the 12 inches by 20 inches rectangle is 68.57 inches, which is not listed among the provided options (A) 11.5 in, (B) 17.5 in, (C) 3.43 in, (D) 20.5 in. Thus, there seems to be an error in the options given.