SOLUTION: Sarah needs to make a garden plot which has an area less than 18ft².the length should be 3ft longer than the width.What are the possible dimensions of the garden plot?

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Question 1186295: Sarah needs to make a garden plot which has an area less than 18ft².the length should be 3ft longer than the width.What are the possible dimensions of the garden plot?
Answer by ikleyn(52932) About Me  (Show Source):
You can put this solution on YOUR website!
.

w = the width, in feet.

(w+3) ft,  the length.



The area INEQUALITY

    w*(w+3) <= 18 ft^2



Transform to the standard quadratic inequality form

    w^2 + 3w - 18 <= 0



Factor left side

    (w+6)*(w-3) <= 18    



The solution is  -6 <= w <= 3.



Due to obvious physical reason, the possible values of the width w must satisfy
this inequality

    0 <= w <= 3.



ANSWER.  The width of the garden must satisfy this inequality  0 <= w <= 3  ft.   The length should be (w+3) ft.


Solved and explained in all details.


Happy learning  ( ! )