This problem requires about 8 nickels, 8 quarters, and a sheet of 8.5-by-11-inch paper. the goal is to estimate the diameter of each type of coin as follows: using trial and error, find a com- bination of nickels and quarters that, when placed side by side, extend the height (long side) of the paper. then do the same along the width (short side) of the paper. use the information obtained to write two linear equations involving the unknown diameters of each type of coin, then solve the resulting system to find the diameter for each type of coin.