SOLUTION: Solving Problems with Quadratic Equations 18. A rectangular picture frame measures 20 cm by 30 cm. A new frame is to be made by increasing each side length by the same amount. The

Question 198592: Solving Problems with Quadratic Equations
18. A rectangular picture frame measures 20 cm by 30 cm. A new frame is to be made by increasing each side length by the same amount. The resulting enclosed area is to be 1064cm^2. Find the dimensions of the new picture frame. Include a diagram in your solution.
Thanks@@@!!!!
Answer by arallie(162) (Show Source): You can put this solution on YOUR website!
I don't know how to a diagram, sorry. But I do have the solution.
and where is area of the smaller rectangle and is the bigger one. will be the width added to the initial rectangle.
is the new dimensions of the rectangle.
Solve

Therefore

Solve for x

Quad From
when a=1, b=50, c=-464
Therefore
Real solutions:
Root 1: -58
Root 2: 8
Since -58 is the wrong idea, the answer is 8.
8cm needs to be added to each side.

Anymore questions feel free to ask me.
Anthony Allie
arallie@gmail.com
http://arallie.webs.com/tutoring.htm

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