Investigation 1.6 Drawing Pictures to Visualize Problems Solve each of the following problems by first drawing a picture or figure. How did the figure help
you solve the problem?
(a) Four cities, conveniently named A, B, C, and D, lie along a very straight road,
not necessarily in that order. B is between Cand D, and D is between B and A. The
distance from B to C equals the distance from A to D, which is twice the distance
from B to D. The distance from A to C is 250 mi. What is the distance from A to B?
Justify your answer.
(b) In her back yard, Carmen wants to build a swimming pool that is 12 ft by 40 ft.
She also plans to build a deck that is 6-ft wide surrounding the pool. What is the
area of the deck?