Given dimensions of rectangular design:
Width = w1 = 5 in
Length = l1 = 8 in
As mentioned, Katie uses a copy machine to enlarge her rectangular design. Therefore,
new width = w2 = 10 in
new length = l2 = x in
Katie creates a large copy of the original design. Therefore, the ratio of length to width must remain the same (as the original design). So, we can write as:
[tex]\frac{l1}{w1}=\frac{l2}{w2}[/tex]
Now, let's put all the values in the equation
[tex]\frac{8}{5}=\frac{x}{10}[/tex][tex]10\cdot\frac{8}{5}=x[/tex][tex]2\cdot8\text{ = x}[/tex]or
x = 16
Therefore, the new length would be 16.
