6. Brian has a pool in the shape of an isosceles right triangle with legs of length n feet. He wants to tile the periphery of the pool with right-triangular tiles with legs of length 1 foot, as shown in the figure below: a) In terms of n, how many tiles does Brian need to tile the periphery of the pool? Justify your answer that you have found one way to solve this problem, give a different method that could be used to find the required number of tiles that would lead to a different (but equivalent) expression from the one you obtained in part (a). Include either an illustration or a verbal explanation that shows the reasoning behind this new expression mportarst note: Please keep in mind that I do not live inside of your head! Your solutions to this prob- should be fully developed from start to finish, and should use words and visuals to convey your thinking clearly so that I understand what part(s) of the figure you are counting in each step of your lem solution. 7. In class, we explored how many one-foot cubes are needed to completely cover an ice cube with edges of length n feet Cover n feet In class, we came up with the expression (n +2)3 for the number of unit cubes needed to cover the ice cube on all sides. We came up with this expression by thinking about the volume of the entire cube (ice cube plus unit cubes) and subtracting the volume of the ice cube in the center. Now, find a different way to approach this problem, and use this approach to obtain a different expression, in terms of n, for the number of unit cubes needed to cover the ice cube2 Give a clear justification of your expression, using both pictures and verbal explanation. If you decompose the set of outer unit cubes into subsets, consider drawing multiple pictures so that I can see how you are dividing these up the same function The expressions (n+1(-1) and n-1 are different Note that a different expressin can staill represent expressions, but represent the same function same