The length of x in the provided figures, where two figures are similar, is equal to 20 inches.
What is scale factor?
Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
The given figure of arrow are similar. The bottom length of small figure is 4 in while the bottom length of big figure is 10 in. Thus, the scale factor is,
[tex]k=\dfrac{4}{10}[/tex]
The side length of small figure is 6 in while the side length of big figure is x in. Thus, the scale factor is,
[tex]k=\dfrac{8}{x}[/tex]
Both the factor are of same condition. Thus,
[tex]\dfrac{8}{x}=\dfrac{4}{10}\\\dfrac{8\times10}{4}=x\\x=20\rm\; in[/tex]
The length of x in the provided figures, where two figures are similar, is equal to 20 inches.
Learn more about the scale factor here;
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