Question 192307
Note that the width, length and the diagonal form a right triangle, the diagonal is the hypotenuse.

Let the width be x, then the length is x + 2.

Now use the pythagorean theorem to set up an equation:
{{{x^2+(x+2)^2 = 10^2}}}

Solving the equation, we have
{{{x^2+x^2+4x+4=100}}}
{{{2x^2+4x-96=0}}}
{{{x^2+2x-48=0}}}
{{{(x-6)(x+8)=0}}}
So
x=6, or x=-8(reject this negative root)

So the width is 6cm, and the length is x+2=8 cm.