Question 1117165

Area=Length times Width or A=LW
Let x=width of walkway
Original area is 20 times 15=300 sq meters
Area after walkway is installed is (15-x) times (20-x)=204 sq meters
(15-x)(20-x)=204

300-35x+x^2=204
x^2-35x+96=0 Quadratic in standard form: Solve using quadratic formula
x=(35+-sqrt((-35)^2-4*1*96))/2
x=(35+-sqrt(1225-384))/2
x=(35+-sqrt(841))/2
x=(35+-29)/2
x=(64)/2= 32 meters unrealistic
and
x=6/2= 3 meters answer

CK
(15-3)(20-3)=204
(12)(17)=204
204=204

Hope this helps---ptaylor