Answer :
[tex]length=130cm[/tex]
Step-by-step explanation:
Here we have , The ratio of width to length of a rectangle is 7:10. The width of the rectangle is 91 cm. We need to Write and solve a proportion to find the length. Let's find out:
According to the given scenario, ratio of width to length is 7:10 , So
⇒ [tex]\frac{width}{length} = \frac{7}{10}[/tex]
width of the rectangle is 91 cm
⇒ [tex]\frac{91}{length} = \frac{7}{10}[/tex]
⇒ [tex]\frac{91(length)}{length} = \frac{7(length)}{10}[/tex]
⇒ [tex]91 = \frac{7(length)}{10}[/tex]
⇒ [tex]\frac{91(10)}{7} =length[/tex]
⇒ [tex]length= \frac{91(10)}{7}[/tex]
⇒ [tex]length=130cm[/tex]
Therefore, [tex]length=130cm[/tex] .