Question

The actual length of Lake Superior is 350 miles and the width is 160 miles. What's the length and width of the lake on a map if the scale is "1 cm = 25 miles"?
A. length: 6.4 cm, width: 14 cm
B. length: 14 cm, width: 6.4 cm
C. length: 7 cm, width: 3.2 cm
D. length: 3.2 cm, width: 7 cm

Answer 1

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  $x$ cm and $y$ cm respectively.

First, the equation according to the ratio of scaled length to the actual length will be....

$\frac{x}{350}=\frac{1}{25}\\ \\ 25x=350\\ \\ x=\frac{350}{25}=14$

Now, the equation according to the ratio of scaled width to the actual width will be....

$\frac{y}{160}=\frac{1}{25}\\ \\ 25y=160\\ \\ y=\frac{160}{25}=6.4$

Thus, the length and width of the lake on the map will be 14 cm and 6.4 cm respectively.