Rectangular stage One side of a rectangular stage is 2 meter

Rectangular stage. One side of a rectangular stage is
2 meters longer than the other. If the diagonal is 10 meters,
then what are the lengths of the sides?

Solution

Draw a rectangle.
label a short side as \"x\".
label a long side as \"x+2\"
label a diagonal as 10 meters
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See the right triangle with the diagonal as its hypotenuse?
Use Pytagoras:
x^2 + (x+2)^2 = 10^2
2x^2 + 4x - 96 = 0
x^2 + 2x - 48 = 0
Factor:
(x+8)(x-6) = 0
Positive solution:
x = 6 (shorter side)
x+2 = 8 (longer side)