Hi,

     .

A = Lw

(w+6)w = 11 yd^2



w^2 + 6w -11 = 0 (tossing out negative solution for unit measure)

w = 1.47213595499958,  and L = 7.47213595499958 

 


 
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation  (in our case ) has the following solutons:

  

  

  

  For these solutions to exist, the discriminant  should not be a negative number.

  

  First, we need to compute the discriminant : .

  

  Discriminant d=80 is greater than zero. That means that there are two solutions: .

  

    

    

    

    Quadratic expression  can be factored:

  

  Again, the answer is: 1.47213595499958, -7.47213595499958.
Here's your graph:



  

RELATED QUESTIONS

A rectangular sign must have an area of 23 square yards. its length must be 6 yards more... (answered by ikleyn)

A rectangular sign must have an area of 22 square yards. Its length must be 4 yards more... (answered by solver91311)

A rectangle sign must have an area of 34 square yards. Its length must be 2 yards more... (answered by Stitch)

a school is building a rectangular soccer field that has an area of 6000 square yards.... (answered by jorel555)

the length of a rectangular garden is 4 yards more than its width. The area of the garden  (answered by TimothyLamb)

A field is being built that has an area of 1000 square yards. The field must be 30 yards... (answered by solver91311,macston)

A rectangular stage has an area of 600 square yards. The length of the stage must be more  (answered by usyim88hk)

A rectangular billboard sign has a length that is four yards longer than twice its width,  (answered by MathLover1,ikleyn)

a rectangle with an area of 112 aquares yards has length 6 yards more than its width.... (answered by drj)