Question

Question #8e319

Answer 1

`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]