Darren is making a map of population density in Central Florida. The two isosceles triangles below show the most and least populated areas according to Darren's results. The base of the large triangle covers 96 miles and the base of the small triangle covers 24 miles.

Question

If the two triangles are similar and the length of the leg of the small triangle covers 31 miles, what is the distance, in miles, covered by m on Darren's map?

Answer 1

base of large triangle is to base of small triangle as 96 miles is to 31 miles.
base of large triangle is to base of small triangle as leg (m) of large triangle is to leg (31) of small triangle

Does this help?

Answer 2

74