The area of a rectangular race track is 2000 m^2 and a width of 90-5x
To find the length of the race track, we can use the formula for the area of a rectangle:
Area = length x width
Given that the area is 2000 m^2 and the width is 90-5x, we can substitute these values into the formula and solve for the length:
2000 = length x (90-5x)
Expanding the right side, we get:
2000 = 90length - 5x(length)
And rearranging the terms, we get the equation:
5x(length) + 90length = 2000
Factor out the length:
length(5x + 90) = 2000
Divide both sides by (5x + 90):
length = 2000 / (5x + 90)
So, the length of the race track is 2000 / (5x + 90).