Question

The length of a cell phone is 1.8 inches and the width is 3.6 inches. The company making the cell phone wants to make a new version whose length will be 1.17 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

To find the width of the new phone, we can set up a proportion using the given lengths. Cross-multiply and solve for the unknown width to find the answer.

Step-by-step explanation:

To solve this problem, we can set up a proportion using the given information. Let's define the scale factor as 'x'.

Using the length, we can write the proportion: (1.8 inches)/(1.17 inches) = (3.6 inches)/w, where 'w' represents the unknown width of the new phone.

To find 'w', we can cross-multiply and solve for it: (1.8 inches) * w = (1.17 inches) * (3.6 inches). Dividing both sides by 1.8, we get w = (1.17 inches)*(3.6 inches)/(1.8 inches). Calculating this gives us w ≈ 2.34 inches.