Question

A photo is 12.5 inches wide and 11.5 inches tall if is reduced to a height of 2.3 inches then how wide will it be

Answer 1

SOLUTION

This is a case of similar rectangles.

Let us list out the given parameters:

Old height = 11.5 inches

Old width = 12.5 inches

New height = 2.3 inches

New width = x

The formula we will use to relate these parameters is:

$\frac{old\text{ height}}{new\text{ height}}=\frac{old\text{ width}}{new\text{ width}}$

Now substituting the parameters into the formula above:

$\begin{gathered} \frac{old\text{ height}}{new\text{ height}}=\frac{old\text{ width}}{new\text{ width}} \\ \frac{11.5}{2.3}=\frac{12.5}{x} \\ 5=\frac{12.5}{x} \\ 5x=12.5 \\ x=\frac{12.5}{5} \\ x=2.5 \end{gathered}$

The new reduced width will be 2.5 inches.