SOLUTION: The length of a rectangular frame is 6 cm more than the width. The area inside the frame is 55 square cm. Find the width of the frame.

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Question 168269This question is from textbook Introductory Algebra
: The length of a rectangular frame is 6 cm more than the width. The area inside the frame is 55 square cm. Find the width of the frame. This question is from textbook Introductory Algebra

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangular frame is 6 cm more than the width. The area inside the frame is 55 square cm. Find the width of the frame.
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Let w = width of rectangular frame
then
w+6 = length of rectangular frame
.
Area = width * length
55 = w(w+6)
55 = w^2+6w
0 = w^2+6w-55
0 = (w+11)(w-5)
w = {-11, 5}
.
We can toss out the negative solution leaving us with:
w = 5 cm (width)