The perimeter of a rectangle is 98 feet. the raitio of its length to its width is 5:2 find the area of the rectangle

perimeter is 2 width + 2 length = 98
2 (2x) + 2 (5x) = 98
4x+10x = 98
14x = 98
x = 7
so width = 2*7 = 14 feet
length = 5*7 = 35 feet
then the area of the rectangle is width*length = 14*35 = 490 feet