Final answer:
To find the width of the new cell phone, we must set up a proportion using the original phone's dimensions. The original cell phone has a length of 14.1 inches to a width of 3.8 inches, and the new cell phone has a length of 0.9 inches, which gives us a proportional width of approximately 2.43 inches.
Step-by-step explanation:
The question involves proportional relationships between lengths and widths of rectangles which is a topic in geometry. To find the width of the new cell phone, we use the proportions given by the original phone's dimensions. The original cell phone has a length of 14.1 inches and a width of 3.8 inches. The new version has a length of 0.9 inches, and we want to find the corresponding width.
Let's set up a proportion using the lengths and widths:
- The original length to width ratio is 14.1/3.8.
- The new length to unknown width (w) ratio is 0.9/w.
We set these two ratios equal to each other to find the unknown width:
14.1/3.8 = 0.9/w
Cross-multiply to solve for w:
14.1 • w = 3.8 • 0.9
Simplify:
w = (3.8 • 0.9) / 14.1
w = 3.42 / 14.1
w = 0.242553191
Therefore, the width of the new cell phone is approximately 2.43 inches, and the correct answer is Option (b) 2.73.8 inches, after rounding to the nearest hundredth (as per the original width presentation