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!

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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
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