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 {length is 15 less than 6 times the width}6x - 15 = length Area of a rectangle = length x widthx(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:
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