Question 168269
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}
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We can toss out the negative solution leaving us with:
w = 5 cm (width)