Question

A rectangle is 1.2 in wide and 6.1 in tall.If it is enlarged to a width of 7.2 in, thenhow tall will it be?

Answer 1

Answer:

The rectangle is 36.6 in tall;

$l_2=36.6\text{ in}$

Explanation:

Given that a rectangle is 1.2 in wide and 6.1 in tall.

$\begin{gathered} w_1=1.2\text{ in} \\ l_1=6.1\text{ in} \end{gathered}$

If it was then enlarged to a width of 7.2 in, then the length l would be;

$w_2=7.2$

Since they would be similar shapes, then we can write;

$\begin{gathered} \frac{w_2}{w_1}=\frac{l_2}{l_1} \\ l_2=\frac{l_1\times w_2}{w_1} \\ \text{substituting the given values;} \\ l_2=\frac{6.1\times7.2}{1.2} \\ l_2=36.6\text{ in} \end{gathered}$

Therefore, the rectangle is 36.6 in tall;

$l_2=36.6\text{ in}$