Final answer:
The measure of the longer side of the new rectangle would be 52 inches. The correct answer is not provided in the given options.
Step-by-step explanation:
The aspect ratio of a rectangle is the ratio of its longer side length to its shorter side length. To find the aspect ratio of the given rectangle measuring 6.5 inches by 2.5 inches, we divide the longer side length by the shorter side length:
Aspect ratio = Longer side length / Shorter side length
Aspect ratio = 6.5 inches / 2.5 inches
Aspect ratio = 2.6
The aspect ratio of the rectangle is 2.6.
To create another rectangle with the same aspect ratio but with a shorter side length of 20 inches, we can multiply the shorter side length by the aspect ratio to find the longer side length:
Longer side length = Aspect ratio * Shorter side length
Longer side length = 2.6 * 20 inches
Longer side length = 52 inches
Therefore, the measure of the longer side of the new rectangle would be 52 inches.
In conclusion, the correct answer is not provided in the given options.