Since "One side of a rectangular stage is 2 meters longer than the other", this means that (note: the order does not matter). Also, since the "diagonal is 10 meters", we can use Pythagoreans Theorem to get
Start with the second equation.
Get all terms to the left side.
Combine like terms.
Notice we have a quadratic equation in the form of where , , and
Let's use the quadratic formula to solve for x
Start with the quadratic formula
Plug in , , and
Square to get .
Multiply to get
Add to to get
Multiply and to get .
Take the square root of to get .
or Break up the expression.
or Combine like terms.
So the possible answers are or
However, since a negative length is not possible, this means that the only answer is