Final answer:
To determine the width of the new phone model with a reduced length, calculate the scale factor from the change in length and apply it to the width. The scale factor is 2.09/2.2, and when applied to the original width of 4.6 inches, the new width comes out to be 4.37 inches.
Step-by-step explanation:
To find the width of the new cell phone while keeping the side lengths proportional to the original phone, we need to calculate the scale factor that the length is reduced by, and then apply that same factor to the width.
The original length is 2.2 inches, and it's being reduced to 2.09 inches. The scale factor is therefore 2.09/2.2.
Next, we apply the scale factor to the original width to get the new width:
Original width = 4.6 inches
Scale factor = 2.09 / 2.2
New width = Original width × Scale factor
By calculating the new width:
New width = 4.6 × (2.09 / 2.2) = 4.6 × 0.95 = 4.37 inches
The new width of the phone will be 4.37 inches.