SOLUTION: The area of a triangle is 16 square units. The base of the triangle is x+4. The height of the triangle is x. Find x

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Question 615449: The area of a triangle is 16 square units. The base of the triangle is x+4. The height of the triangle is x. Find x
Answer by asuar010(338)   (Show Source): You can put this solution on YOUR website!
are is b*h/2 so we get (x+4)*x/2
Solved by pluggable solver: EXPLAIN simplification of an expression
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YOUR ANSWER


  • This is an equation! Solutions: x=4,x=-8.
  • Graphical form: Equation was fully solved.
  • Text form: (x+4)*x/2=16 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (x+4)*x/2=16 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved these terms to the left highlight_green%28+-16+%29
It becomes .
Look at .
Expanded term x%2F2 by using associative property on %28x%2B4%29
It becomes .
Look at .
Factors 4 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E2+%29
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes .
Look at .
Equation highlight_red%28+x%5E2%2F2%2Bx%2A2-16=0+%29 is a quadratic equation: 0.5*x^2+2*x-16 =0, and has solutions 4,-8
It becomes .
Result:
This is an equation! Solutions: x=4,x=-8.

Universal Simplifier and Solver


Done!
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