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

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> 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      Log On


   

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(52778) About Me  (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.