Question

The diagram shows the length and width of a cell phone, and the length of a larger

version of the same brand of cell phone.
2.6 in.
5.4 in.
6.21 in.
The lengths and widths of the two cell phones are proportional. What is the width,
in inches, of the larger version of the cell phone?

Answer 1

The width of the bigger phone is 2.99 in

Step-by-step explanation:

Given

`W_1 = 2.6in`

`L_1 = 5.4in`

`L_2 = 6.21in`

See attachment for the measure of cell phones

Required

Determine the width of the bigger version (L2)

To do this, we make use of the following equivalent ratios.

`L_1 : W_1 = L_2 : W_2`

This gives:

`5.4\ in : 2.6\ in : 6.21\ in : W_2`

Express as fractions

`(5.4\ in)/(2.6\ in) = (6.21\ in)/(W_2)`

`(5.4)/(2.6) = (6.21\ in)/(W_2)`

Make W2 the subject

`W_2 = (6.21 * 2.6\ in)/(5.4)`

`W_2 = (16.146\ in)/(5.4)`

`W_2 = 2.99\ in`