The width of a rectangle is 5 centimeters less than the length. The area is 36 square centimeters. Find the length.
Mathematics
presley21
Question
The width of a rectangle is 5 centimeters less than the length. The area is 36 square centimeters. Find the length.
1 Answer

1. User Answers ImurGirlfriend53
If the width is Wthen the length is 2W5 W(2W5)=422W25W = 422W25W42 = 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 2W212W+7W42 = 02W(W6) + 7(W6)=0(2W+7)(W6)=0
Either: 2W+7 = 0 or W6 = 0 2W = 7 W = 6 cm W = 7/2 cm
Since W will not be a negative, our width is 6cmThe length is 2W5 = 2(6)5=125 = 7 cm