Answer:
Side DE = 32 inches
Explanation:
We are given that ΔCDE is similar to ΔQRS, this means that the corresponding sides are equal.
We are also given that the similarity ratio is [tex]\frac{4}{1}[/tex]
Now, we set the similarity ratio and equate it to [tex]\frac{4}{1}[/tex] as follows:
[tex]\frac{CD}{QR} = \frac{DE}{RS} = \frac{CE}{QS} = \frac{4}{1}[/tex]
We are given that side RS = 8 inches. Substitute with this value in the above ratio and solve for DE as follows:
[tex]\frac{DE}{RS} = \frac{DE}{8} = \frac{4}{1}[/tex]
DE = [tex]\frac{4*8}{1} = 32[/tex] inches
Hope this helps :)
