SOLUTION: the length of a rectangular frame is 5 cm more than the width. the area inside the frame is 84 cm. find the width of the frame.
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Question 250175: the length of a rectangular frame is 5 cm more than the width. the area inside the frame is 84 cm. find the width of the frame. Answer by tutorcecilia(2152) (Show Source):
You can put this solution on YOUR website! Area=(length)(width)
A=84
Width=w
Length=w+5
So,
84=(w)(w+5)
84=w^2+5w
84-84=w^2+5w-84
0=w^2+5w-84
0=(x-7)(x+12)
x-7=0
x=7
and
x+12=0
x=-12
The two possible solutions are width = 7 or -12. Since the width cannot be a negative number the only viable solution is width=7.
