Question

What is the aspect ratio of a rectangle that is 6.5 inches by 2.5 inches? What if you wanted another rectangle with the same aspect ratio, however, with a shorter side length of 20 inches? What would be the measure of the longer side?

A. Aspect ratio is 2.6, longer side is 52 inches.
B. Aspect ratio is 0.38, longer side is 7.6 inches.
C. Aspect ratio is 0.38, longer side is 50 inches.
D. Aspect ratio is 2.6, longer side is 7.6 inches.

Answer 1

The aspect ratio of the rectangle is 2.6, and for another rectangle with the same aspect ratio and a width of 20 inches, the length would be 52 inches.

Step-by-step explanation:

The aspect ratio of a rectangle is found by dividing the length by the width. For the given rectangle of dimensions 6.5 inches by 2.5 inches, the aspect ratio is calculated as 6.5 / 2.5, which simplifies to 2.6. This means that for every 2.6 inches of length, there is 1 inch of width.

To find the length of another rectangle with the same aspect ratio but a shorter side length of 20 inches, we set up a proportion using the aspect ratio 2.6. Since the shorter side (width) is 20 inches, the equation is length/width = aspect ratio, or length / 20 inches = 2.6. Solving for length, we get length = 20 inches * 2.6, which is 52 inches.

Therefore, the correct answer is: A. Aspect ratio is 2.6, longer side is 52 inches.