SOLUTION: Tennis court length is 3ft less than three times its width, area is 2106 ft squared What is length What is width I started with quadratic equation ax (squared) + bx + c = 0

Algebra ->  Systems-of-equations -> SOLUTION: Tennis court length is 3ft less than three times its width, area is 2106 ft squared What is length What is width I started with quadratic equation ax (squared) + bx + c = 0       Log On


   

Question 789676: Tennis court length is 3ft less than three times its width, area is 2106 ft squared
What is length
What is width
I started with quadratic equation
ax (squared) + bx + c = 0
A= lxw
L= 3w -3
L-3 x 3w= 2106ft squared
But got lost with the area squared
Thanks in advance for your help
Dianne
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Tennis court length is 3ft less than three times its width,
area is 2106 ft squared
-----
Let width be "w":
Then length is "3w-3"
-----
Area = length * width
2106 = (3w-3)w
3w^2 -3w - 2106 = 0
w^2 -w - 702 = 0
----
w = 27 ft (width)
length = 3x-3 = 78 ft (length)
==================
Cheers,
Stan H.
==================