SOLUTION: A table top is in the shape of a square. If the numerical values of twice the area of the square and thrice its perimeter added, the sum is 32. What is the measure of the side of t

Question 1139834: A table top is in the shape of a square. If the numerical values of twice the area of the square and thrice its perimeter added, the sum is 32. What is the measure of the side of the square table?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.


    2x^2 + 3*(4x) = 32


    2x^2 + 12x - 32 = 0


    x^2  +  6x  - 16 = 0


    (x+8)*(x-2) = 0.


The only positive root x= 2 is the solution.    ANSWER


CHECK.   2*2^2 + 3*(4*2) = 8 + 24 = 32.   ! Correct !

Solved.

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