The correct option is: B. length: 14 cm, width: 6.4 cm
Explanation
The actual length of Lake Superior is 350 miles and the width is 160 miles.
The scale is given as: 1 cm = 25 miles
Suppose, the length and width of the lake on the map are [tex]x[/tex] cm and [tex]y[/tex] cm respectively.
First, the equation according to the ratio of scaled length to the actual length will be....
[tex]\frac{x}{350}=\frac{1}{25}\\ \\ 25x=350\\ \\ x=\frac{350}{25}=14[/tex]
Now, the equation according to the ratio of scaled width to the actual width will be....
[tex]\frac{y}{160}=\frac{1}{25}\\ \\ 25y=160\\ \\ y=\frac{160}{25}=6.4[/tex]
Thus, the length and width of the lake on the map will be 14 cm and 6.4 cm respectively.
