Question

The length of a cell phone is 1.41.4 inches and the width is 3.83.8 inches. The company making the cell phone wants to make a new version whose length will be 0.910.91 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

Let's call the width of the new phone "w". Since the lengths of the sides are proportional, we can set up a proportion to solve for the width:

1.41.4 inches / 3.83.8 inches = 0.910.91 inches / w

Cross multiplying and simplifying, we get:

w = 3.83.8 inches * 0.910.91 inches / 1.41.4 inches
w = 3.83.8 inches * 0.910.91 inches / 1.41.4 inches = 2.35 inches

So the width of the new phone will be 2.35 inches