exam Maths Puzzle Numerical Ability

Can you show me how to solve this problem Step-By-Step?
A rectangle has a perimeter of 34cm. The length in centimeters of its adjacent sides are consecutive integers. Find the dimensions of the rectangle.

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solve for x: 15x^2-17x=18
3x/y^3z^5 + -2/y^2z^4


thank you so much for helping me!
You have made my day!!! :D