# SOLUTION: The area of a triangle is 36 square meters. The height is two more than four times the base. Find the height and base. GOT THIS FAR: Let x = the base Let 4x + 2 = the heig

Algebra ->  Algebra  -> Formulas -> SOLUTION: The area of a triangle is 36 square meters. The height is two more than four times the base. Find the height and base. GOT THIS FAR: Let x = the base Let 4x + 2 = the heig      Log On

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 Question 3170: The area of a triangle is 36 square meters. The height is two more than four times the base. Find the height and base. GOT THIS FAR: Let x = the base Let 4x + 2 = the height Let 36^ = area x^2 + (4x+2)^2 = 36^2 Please help me. I am losing my mind.Found 2 solutions by longjonsilver, cleomenius:Answer by longjonsilver(2297)   (Show Source): You can put this solution on YOUR website!your base definition is a good start. Your height is correct. Now for the area: area of triangle = so, area = 36 = so we get a quadratic, when we divide by 2 (to simplify a little): Hopefully this factorises nicely. If not - use the quadratic formula. jon. Answer by cleomenius(959)   (Show Source): You can put this solution on YOUR website!The previous work is good: 36 = 1/2(4x + 2)*(x) which evaluates to our quadratic 2x^2 + x -36 = 0 This does factor nicely (2x + 9)(x - 4) We take the positive 0; so x = 4. 36 = 1/2( (4 * 4 )+ 2) (4) As we can see, this does check.