SOLUTION: solve for x and find the missing dimension Triangle Area:155 square units height:10 units Base:3x +10

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Question 549457: solve for x and find the missing dimension
Triangle
Area:155 square units
height:10 units
Base:3x +10
Answer by TutorDelphia(193)   (Show Source): You can put this solution on YOUR website!
Area of triangle formula is
In this case
Which when we solve will give us 7 (see below)
Therefore the base of the triangle was 3*7+10=31
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=7.
  • Graphical form: Equation was fully solved.
  • Text form: 155=(1/2)*(3x+10)*10 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 155=(1/2)*(3x+10)*10 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F2+%29
It becomes .
Look at .
Factors 10 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-5%2A%283%2Ax%2B10%29+%29
It becomes .
Look at .
Moved 155 to the right of expression
It becomes .
Look at .
Expanded term -5 by using associative property on %283%2Ax%2B10%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Solved linear equation highlight_red%28+-15%2Ax%2B105=0+%29 equivalent to -15*x+105 =0
It becomes .
Result:
This is an equation! Solutions: x=7.

Universal Simplifier and Solver


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