SOLUTION: Find the length and width of a similar rectangular screen if the length is 10 meters more than 6 times its width, and the viewable area is 7,700 square meters. please help!

Click here to see ALL problems on Quadratic Equations

Question 981119: Find the length and width of a similar rectangular screen if the length is 10 meters more than 6 times its width, and the viewable area is 7,700 square meters.
please help!
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
Not the finished solution...

w, width
L, length

You will form a quadratic equation in the process.

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

Find the length and width of a similar rectangular screen if the length is 10 meters more than 6 times its width, and the viewable area is 7,700 square meters.
please help!

Let width be W
Then length is: 6W + 10
Area (viewable) is 7,700 m, so we get: W(6W + 10) = 7700

------ Factoring out GCF, 2

(W - 35)(3W + 110) = 0
W, or width = m OR (ignore)
Length: 6(35) + 10, or 210 + 10, or m