Ahealth club is building a multi-use aquatics facility that will have two pools. one pool will be primarily used by lap swimmers and local school swim teams. a second pool will be a mixed usage pool and have regions of various depths to serve the remainder of the community. design two swimming pools for the aquatics center and calculate the volume of each pool. the lap pool should be 25 yards long, between 4 and 6 feet deep, and should consist of x lanes, with the width of each lane between 6 and 8 feet. the multi-use pool should have 3 sections. the first section should be a shallow end, where the depth begins between 2.5 and 3.5 feet, and slopes down to a depth equal to one-sixth the width of the pool over about one-third of the pool's length. the last section should slope down to the maximum depth of the pool, which should be between 9 and 12 feet. both pools should have approximately the same width, and the multi-use pool should be between 2 and 3 times as long as it is wide. produce polynomials representing the volume of each pool and the total volume of water needed by the facility.