(a) Four cities, conveniently named A, B, C, and D, lie along a very straight road, not necessarily in that order. B is between C and 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?

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