book Maths Puzzle Numerical Ability

The perimeter of a rectangle is 50ft. The width of a rectangle is 5ft. less than the length. Find the length and the width of the rectangle. P = 2w +2L

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Formula: 1020 square root of P (1-.01 square root of P)=G
If P is the population in thousands, this formula is the amount of water in gallons per minute the city needs.
Question
Find all values of w satisfying the equation:

3w/w - 2 = negative 27/w^2 - 8w + 12