Suppose you are an elementary school teacher. you want to order a rectangular bulletin board to mount on a classroom wall that has an area of 250 square feet. suppose fire code requirements allow for no more than 30% of a classroom wall to be covered by a bulletin board. if the length of the board is three times as long as the width, what are the dimensions of the largest bulletin board that meets fire code?

Anew obstacle course is home to several new types of challenging obstacles. one such obstacle is traversing a 15-stair staircase. to make it more challenging, the stairs are not uniformly spaced. rather, the vertical space between consecutive stairs for the first 10 stairs is 113 feet and the vertical space for the last 5 stairs is 134 feet. what is the total vertical distance traveled ascending and descending the entire 15-stair staircase?