Finding the length

Question

the floor plan of a rectangular building states that the lengthof the building is 8 meters less than 4 times ots width. If the floor area is to be 252 square meters, The length of the rectangular building is

Answer 1

 

w(4w-8) = 252

 

w(w-2) = 252/4 = 63

 

w^2 - 2w - 63 = 0

 

(   w   -   9 )( w  +   7   ) = 0

 

w+7=0 results in negative measures

 

w-9 = 0 ---> w= 9

 

width is 9

Length is 4(9)-8 = 36 - 8 = 28

 

28 x 9 = 252