Answer: 9 inches
Step-by-step explanation:
Since it is enlarged , the new shape is still similar to the former one. If two shapes are similar , then the ratio of their length will be equal.
Length of the original shape = 8 inches
width = 6 inches
Length of the new shape = 12 inches
Width = x inches
following the rule of similar shape , we have :
[tex]\frac{8}{6}=\frac{12}{x}[/tex]
multiply both sides by [tex]\frac{6}{8}[/tex] , we have
[tex]\frac{8}{6}(\frac{6}{8}) = \frac{12}{x}(\frac{6}{8})[/tex]
[tex]1 = \frac{72}{8x}[/tex]
[tex]8x = 72[/tex]
divide through by 8
[tex]x = 9[/tex]
