On a map with a scale of 2 in. = 15 mi, what would be the demensions of a 72 mi by 120 mi rectangle?
To determine the dimensions of a rectangle on a map with a given scale, you need to first understand the relationship between the map scale and the actual dimensions. In this case, the scale is 2 inches to 15 miles.
To find the dimensions of a 72-mile by 120-mile rectangle on this map, follow these steps:
Step 1: Determine the scale factor
The scale factor is the ratio between the actual distance and the corresponding distance on the map. In this case, the scale factor can be calculated by converting the given scale to miles per inch:
Scale factor = (15 miles) / (2 inches) = 7.5 miles per inch.
Step 2: Calculate the length and width on the map.
To determine the length and width on the map, divide the actual dimensions by the scale factor:
Length on map = (72 miles) / (7.5 miles per inch) = 9.6 inches
Width on map = (120 miles) / (7.5 miles per inch) = 16 inches
Therefore, a 72-mile by 120-mile rectangle on a map with a scale of 2 inches = 15 miles would have dimensions of approximately 9.6 inches by 16 inches.