Question

The length of a cell phone is 1.2 inches and the width is 3.4 inches. The company making the cell phone wants to make a new version whose length will be 1.68 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

The new width of the phone will be 4.76 inches if the lengths are proportional, calculated by setting up and solving a proportion based on the original dimensions and the new length.

Step-by-step explanation:

The student is asking about proportions, specifically in the context of resizing dimensions while maintaining the same aspect ratio. To find the width of the new phone model that is proportional to the original, we use the concept of similar rectangles. Given that the original length of 1.2 inches corresponds to a width of 3.4 inches, and the new length is 1.68 inches, we can set up a proportion to solve for the new width.

To find the new width (let's call it w), we set up the proportion like this:

• Original length / Original width = New length / New width
• 1.2 / 3.4 = 1.68 / w
• w = (1.68 * 3.4) / 1.2
• w = 4.76 inches

So, the new width of the phone will be 4.76 inches if the lengths are proportional.

Answer 2

The length of a cell phone is 1.2 inches and the width is 3.4 inches. The company making the cell phone wants to make a new version whose length will be 1.68 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

The Answer is : 4.76