To find the distance between the roses and the lilies, we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the roses are (5,1) and the coordinates of the lilies are (5,5).
Distance = sqrt((5-5)^2 + (1-5)^2)
Distance = sqrt(0^2 + (-4)^2)
Distance = sqrt(0 + 16)
Distance = sqrt(16)
Distance = 4
Therefore, the roses are 4 feet away from the lilies on the map.