Find the lengths of the sides of a 35 square cm rectangle if one side is 2 cm larger than the other.

Let the length of the rectangle be x, then the second is x + 2.
Their product is equal to the area: x (x + 2) = 35 or x ^ 2 + 2x – 35 = 0.
Solving the quadratic equation we get roots 5 and 7. These are our desired sides of the square.



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