The area of a rectangular floor is described by the equation w(w-9)=252 where w is the width of the floor in meters. What is the width o the floor?

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##(w-21)(w+12)##

Given: ##w(w-9)=252##

Multiply anything within the brackets by ##w##

##=>w^2-9w=252##

Subtract 252 from twain sides

##w^2-9w-252=0##

Factors of 252 that feel a contrariety of 9 are 12 and 21 We want -9 so the larger if the two is indirect.

##(w-21)(w+12) =w^2+12w-21w-252color(red)(" Works")##

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