A rectangle has a length of 15 less than 6 times its width. Find the length and width, if it has an area of 561 ?

**x = width**

6x - 15 = length{length is 15 less than 6 times the width}

6x - 15 = length

**Area of a rectangle = length x width**

x(6x - 15) = 561 {multiplied width by length and set equal to area}

6x² - 15x = 561 {used distributive property}

6x² - 15x - 561 = 0 {subtracted 561 from each side}

2x² - 5x - 187 = 0 {divided entire equation by greatest common factor, 3}

Graph the equation

__using a graphing calculator__or solve using the quadratic formula to find the x-intercept, which is solving the equation for x: