A triangle drawn on a map has sides of lengths 9.0 cm, 10 cm, and 13 cm. The shortest of the corresponding real-life distances is 106 km. Find the longest of the real-life distances. Round to the Nearest unit.
A)153 km
B)73 km
C)138 km
D)118 km

Question

Quizplus · Accepted Answer

The scale factor for the map to real-life conversion is determined by dividing the real-life distance by the map distance for the shortest side, which is 106 km / 9.0 cm = 11.78 km/cm. Applying this scale factor to the longest side of the map, 13 cm, gives a real-life distance of 13 cm * 11.78 km/cm = 153.14 km, which rounds to 153 km.

A Triangle Drawn on a Map Has Sides of Lengths