Question

A map of Utah has a scale of 1 cm: 30 mi. The border of Utah measures

about 3.7 cm. How long is the actual border of Utah and Wyoming? Show
your work to receive full credit

Answer 1

To find the actual length of the border of Utah and Wyoming, we can use the scale of the map and the length of the border on the map. By setting up a proportion, we can calculate that the actual length is 111 miles.

Step-by-step explanation:

To find the actual length of the border of Utah and Wyoming, we need to use the scale of the map and the length of the border on the map.

Given that 1 cm on the map represents 30 miles in reality, we can set up a proportion to find the actual length:

1 cm / 30 mi = 3.7 cm / x

Cross-multiplying, we get x = 3.7 cm * 30 mi / 1 cm = 111 mi.

Therefore, the actual length of the border of Utah and Wyoming is 111 miles.

Answer 2

The actual border of Utah and Wyoming is 111 miles long.

Step-by-step explanation:

We can use proportion to solve this!

`(1 \: cm)/(30 \: mi) = (3.7 \: cm)/(x) \\ \\ (111)/(1) = (1x)/(1) \\ \\ 111 = x`