Question 461488
x = width
x + 10 = length {yard is 10 feet longer than it is wide}


Area of a rectangle = width x length


x(x + 10) = 119 {area is width x length}
x² + 10x = 119 {used distributive property}
x² + 10x - 119 = 0 {subtracted 110 from both sides}
(x + 17)(x - 7) = 0 {factored into two binomials}
x + 17 = 0 or x - 7 = 0 {set each factor equal to 0}
x = -17 or x = 7 {solved each equation for x}
x = 7 {width cannot be negative}
x + 10 = 17 {substituted 7, in for x, into x + 10}


width = 7 ft
length = 17 ft
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