Question

The length of a cell phone is 1.41.4 inches and the width is 2.82.8 inches. The company making the cell phone wants to make a new version whose length will be 1.611.61 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

Answer 1

Explanation:

Since the side lengths are proportional, the ratio of the width to length in the old phone will be equal to the ratio of the width to length in the new phone. That is:

(width of old phone) / (length of old phone) = (width of new phone) / (length of new phone)

We know the length of the old phone is 1.41.4 inches, and the width is 2.82.8 inches, so we can use that information to solve for the width of the new phone:

(2.82.8 inches) / (1.41.4 inches) = (width of new phone) / (1.611.61 inches)

Cross multiplying, we get:

(width of new phone) = (2.82.8 inches) * (1.611.61 inches) / (1.41.4 inches)

Using a calculator, we can find that the width of the new phone is approximately 3.23.2 inches.