SOLUTION: Linda maintains the garden at her home. In the summer she plans to build a walkways through the garden. The area of the walkway, A, in square metres is given by A=90x+3x^2 where

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Linda maintains the garden at her home. In the summer she plans to build a walkways through the garden. The area of the walkway, A, in square metres is given by A=90x+3x^2 where      Log On


   

Question 1118618: Linda maintains the garden at her home. In the summer she plans to build a walkways through the garden. The area of the walkway, A, in square metres is given by A=90x+3x^2 where x is the width of the walkway in metres. If the area of the walkway must be 3000m^2 determine the width, explain.
Thank you.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
90x%2B3x%5E2=3000
x%2890%2B3x%29=3000, width being x, and length being 3x+90
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x%2830%2Bx%29=1000------find maybe two wholenumber factors differing by 30?

1000=100%2A10=4%2A25%2A10=4%2A25%2A2%2A5=40%2A25=20%2A50-------last two differ by 30;
x%5E2%2B30x-1000=0
%28x-20%29%28x%2B50%29=0
highlight%28x=20%29-------width
-
Length, 3x%2B90
3%2A20%2B90
highlight%28150%29---------length



Otherwise general solution for quadratic equation:
x%5E2%2B30x-1000=0
x=%28-30%2Bsqrt%28900%2B4000%29%29%2F2
x=%28-30%2Bsqrt%284900%29%29%2F2
x=%28-30%2B70%29%2F2
x=40%2F2
x=20

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Linda maintains the garden at her home. In the summer she plans to build a walkways through the garden.
The area of the walkway, A, in square metres is given by A=90x+3x^2 where x is the width of the walkway in metres.
If the area of the walkway must be 3000m^2 determine the width, explain.
Thank you.
~~~~~~~~~~~~~~~~~~~~~~~~~


Hey,

I am looking into the condition, which seems to be strange to me.

The problem asks for the width of the walkway around the garden.

The tutor @josgarithmetic solved the equation and got the answer x = 20 meters is the width of the walkway.

He solved the equation correctly, and his answer of 20 meters is correct.

Now think: 20 meters is the width of 5 lines highway.

So, Linda has the walkway around her garden, which (walkway) is as wide as 5 lines highway ?


From which source did you get this problem ? ? ?

==================

The problems' last word is "Explain".

Let me take this opportunity and Explain.


                                Explanation 

    The problem, as it presented, worded and formulated, MAKES NO SENSE.


    You can decide on your own way, what to do with it.


    In my view, the right place for this problem is in the garbage box.