Question

Central Park is a rectangular park in New York City, and the map scale is 1 cm: 320 m. Find the north-south distance if the length on the map is 2.5 cm.

A) 800 m
B) 640 m
C) 400 m
D) 960 m

Answer 1

By calculating 2.5 cm times 320 meters per cm, the north-south distance of Central Park according to the scale is found to be 800 meters.

Step-by-step explanation:

To find the north-south distance of Central Park using the map scale given as 1 cm: 320 m, we can set up a proportion since scale drawings are proportional to the actual measurements. To find the north-south distance on the map, we need to use the scale factor. The scale factor is 1 cm: 320 m, which means that 1 cm on the map represents 320 m in real life. If 1 cm on the map corresponds to 320 m in reality, then a length of 2.5 cm on the map will correspond to 2.5 times 320 m in reality. This calculation is straightforward:

2.5 cm × 320 m/cm = 800 m

Hence, the north-south distance of Central Park is 800 meters, so the correct answer is A) 800 m.