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

The rectangle is 36.6 in tall;

`l_2=36.6\text{ in}`

Step-by-step 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} (w_2)/(w_1)=(l_2)/(l_1) \\ l_2=(l_1* w_2)/(w_1) \\ \text{substituting the given values;} \\ l_2=(6.1*7.2)/(1.2) \\ l_2=36.6\text{ in} \end{gathered}`

Therefore, the rectangle is 36.6 in tall;

`l_2=36.6\text{ in}`