Answer: The correct option is
(C) 7.7 cm.
Step-by-step explanation: Given that two rectangles are similar. One has a length of 11 cm and a width of 10 cm, and the other has a width of 7 cm.
We are to find the length of the second rectangle.
Let l represents the length of the second rectangle.
We know that the corresponding sides of two similar rectangles are proportional.
So, we must have
[tex]\dfrac{11}{l}=\dfrac{10}{7}\\\\\Rightarrow 10l=77\\\\\Rightarrow l=\dfrac{77}{10}\\\\\Rightarrow l=7.7.[/tex]
Thus, the required length of the second rectangle is 7.7 cm.
Option (C) is CORRECT.
