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

Step-by-step 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....

`(x)/(350)=(1)/(25)\\ \\ 25x=350\\ \\ x=(350)/(25)=14`

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

`(y)/(160)=(1)/(25)\\ \\ 25y=160\\ \\ y=(160)/(25)=6.4`

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