Question 189489
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Let <i>w</i> be the width, then


Let 3<i>w</i> - 7 is the length.


The area is the length times the width so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  (3w - 7)w = 20]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  3w^2 - 7w - 20 = 0]


Solve the quadratic by factoring.  One of the roots will be negative which is an absurd result when calculating the measure of something, so exclude that root.  The positive root will be your width.  3 times the width minus 7 will be the length.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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