If the width is Wthen the length is 2W-5 W(2W-5)=422W2-5W = 422W2-5W-42 = 0 Factor by grouping or do the quadratic equation.Multiply the coefficient of the squared term.. 2..by the constant ..-42.. 2(-42)=-84Factors of -84 that add to the coefficient..-5.. ofthe W term are 7(-12)Replace the -5W with -12W + 7W 2W2-12W+7W-42 = 02W(W-6) + 7(W-6)=0(2W+7)(W-6)=0
Either: 2W+7 = 0 or W-6 = 0 2W = -7 W = 6 cm W = -7/2 cm
Since W will not be a negative, our width is 6cmThe length is 2W-5 = 2(6)-5=12-5 = 7 cm
