L = [tex]( \frac{2}{3} )[/tex]w a = 12 Length times width = area L · w = a [tex]( \frac{2}{3} )[/tex]w · w = 12 [tex]( \frac{2}{3} )[/tex] [tex] w^{2} [/tex] = 12 Divide both sides by [tex] \frac{2}{3} [/tex] or mulitply both sides by [tex] \frac{3}{2} [/tex] (either one is fine) [tex]( \frac{2}{3} )[/tex] ÷ [tex]( \frac{2}{3} )[/tex] [tex] w^{2} [/tex] = 12 ÷ [tex]( \frac{2}{3} )[/tex] or [tex]( \frac{3}{2} )[/tex] [tex]( \frac{2}{3} )[/tex] [tex] w^{2} [/tex] = 12 [tex]( \frac{3}{2} )[/tex] [tex] w^{2} [/tex] = 18 Square root both sides to get rid of the squared on the w [tex] \sqrt{w^{2} } [/tex] = [tex] \sqrt{18} [/tex] w = 4.24
