Solve each problem. See the strategy for problem solving.STRATEGY Problem Solving1. Read t...

Solve each problem. See the strategy for problem solving.

STRATEGY Problem Solving

1. Read the problem as many times as necessary to get an understanding of the problem.

2. If possible, draw a diagram to illustrate the problem.

3. Choose a variable, write down what it represents, and if possible, represent any other unknown quantities in terms of that variable.

4. Write an equation that models the situation. You may be able to use a known formula, or you may have to write an equation that models only that particular problem.

5. Solve the equation.

6. Check your answer by using it to solve the original problem (not just the equation).

7. Answer the question posed in the original problem.

Olympic Track To host the Summer Olympics, a city plans to build an eight-lane track. The track will consist of parallel 100-m straightaways with semicircular turns on either end as shown in the figure. The distance around the outside edge of the oval track is 514 m. If the track is built on a rectangular lot as shown in the drawing, then how many hectares (1 hectare = 10,000 m2) of land are needed in the rectangular lot?

Figure