SOLUTION: The length of a rectangular garden is 7 feet longer than its width. The garden's perimeter is 198 feet. Find the width of the garden.

Algebra ->  Graphs -> SOLUTION: The length of a rectangular garden is 7 feet longer than its width. The garden's perimeter is 198 feet. Find the width of the garden.       Log On


   

Question 1049988: The length of a rectangular garden is 7 feet longer than its width. The garden's perimeter is 198 feet. Find the width of the garden.
Found 2 solutions by advanced_Learner, ikleyn:
Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
+x+
+x%2B7+
2x%2B2x%2B14+=198
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=46.
  • Graphical form: Equation 2x%2B2x%2B14=198 was fully solved.
  • Text form: 2x+2x+14=198 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2x%2B2x%2B14=198+%29
    For tutors: simplify_cartoon( 2x+2x+14=198 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+2%2Ax+%29%2Bhighlight_red%28+2%2Ax+%29%2B14=198.
Eliminated similar terms highlight_red%28+2%2Ax+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%282%2B2%29%2Ax+%29
It becomes highlight_green%28+%282%2B2%29%2Ax+%29%2B14=198.
Look at %28highlight_red%28+2+%29%2Bhighlight_red%28+2+%29%29%2Ax%2B14=198.
Added fractions or integers together
It becomes %28highlight_green%28+4+%29%29%2Ax%2B14=198.
Look at highlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29%2B14=198.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes highlight_green%28+4+%29%2Ax%2B14=198.
Look at 4%2Ax%2B14=highlight_red%28+198+%29.
Moved these terms to the left highlight_green%28+-198+%29
It becomes 4%2Ax%2B14-highlight_green%28+198+%29=0.
Look at 4%2Ax%2Bhighlight_red%28+14+%29-highlight_red%28+198+%29=0.
Added fractions or integers together
It becomes 4%2Ax%2Bhighlight_green%28+-184+%29=0.
Look at 4%2Ax%2Bhighlight_red%28+-184+%29=0.
Removed extra sign in front of -184
It becomes 4%2Ax-highlight_green%28+184+%29=0.
Look at highlight_red%28+4%2Ax-184+%29=0.
Solved linear equation highlight_red%28+4%2Ax-184=0+%29 equivalent to 4*x-184 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=46.

Universal Simplifier and Solver


Done!

Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.
When you get so simple equations, do not use online solver.
Solve them on your own.