Answer:
10 in
Explanation:
The ratio of the height to the width of the frame is constant. So, we can write the following equation:
[tex]\frac{Height}{Width}=\frac{4\text{ in}}{2\text{ in}}=\frac{20\text{ in }}{x}[/tex]
Where x is the width of the enlarged frame.
So, solving for x, we get:
[tex]\begin{gathered} \frac{4}{2}=\frac{20}{x} \\ 4(x)=2(20) \\ 4x=40 \\ \frac{4x}{4}=\frac{40}{4} \\ x=10 \end{gathered}[/tex]
Therefore, the frame will be 10 in wide.
