If the The length of a rectangle is 5cm longer than twice the length of the width and the area if the rectangle is 403 square centimeters, what is the width?

let the width be x

so the length is (2x + 5)

and the area is 403 square centimeters

so the equation is

x (2x+5) = 403

=> 2x^2 - 5x - 403 = 0 (just solve this equation and you will get the answer)