Question 129019
I was not aware that there were many solutions to such a problem and I would be very interested in learning about these.
I did not do the example to which you refer but, had I done so, I would have done the following:
For a rectangle:
{{{A = L*W}}} You say that the area, A = 90 sq.cm
The sides are consecutive integers x and x+1, so:
{{{90 = x(x+1)}}}
{{{90 = x^2+x}}} or...
{{{x^2+x-90 = 0}}} Factoring the quadratic, we get:
{{{(x-9)(x+10) = 0}}} so that...
{{{x = 9}}} or {{{x = -10}}} We'll take the positive value as lengths are positive:
{{{x = 9}}} and {{{x+1 = 10}}} and...
{{{9*10 = 90}}}