The length of a rectangular field is 5 meters more than its width. Its area is 300 square meters. How long is the field? Usually whatever comes after "than" is what you let x equal
x = width x + 5 = length Area of a rectangle is length x width x(x + 5) = 300 x2+ 5x = 300 {distributive property} x2+ 5x - 300 = 0 {subtract 300 from both sides} (x + 20)(x - 15) = 0 {factor into 2 binomials} x + 20 = 0 or x - 15 = 0 {set each factor equal to 0} x = -20 or x = 15 {width cannot be negative} x = 15 width x + 5 = 20 length - Algebra House
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