Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. she wants the height of the pen to be 5 feet. if the pen costs $1 per square foot, what is the biggest pen (in terms of the radius) that she can afford? round your answer to the nearest foot.

The length of a rectangular board is 3 feet less than twice its width. a second rectangular board is such that each of its dimensions is the reciprocal of the corresponding dimensions of the first rectangular board. if the perimeter of the second board is one-fifth the perimeter of the first, what is the perimeter of the first rectangular board?