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} 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 xintercept, which is solving the equation for x:
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February 2023
