Question #8e319

1 Answer
May 25, 2017

Answer:

#10%# was added to the length and width.

Explanation:

Let #x %# is increased in both length and width.

Increased length is # l*(1+0.01x)= l+ 0.01lx#

Increased width is # w*(1+0.01x)= w+ 0.01wx#

#l*w=300 ; (l+ 0.01lx) * (w+ 0.01wx)=363#

#lw+0.01x(lw+lw)+0.0001lwx^2=363 # or

#300 + 2*300*0.01x + 300*0.0001x^2=363# or

#0.03x^2+6x-63=0 or 3x^2+600x -6300 =0 # or

#x^2+200x-2100 =0#

#(x+210)(x-10)=0 :. x=-210 or x=10#

#x# cannot be negative so #x=10%#

#10%# was added to the length and width. [Ans]