Question 1097995
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Let x be the width, in feet.

Then the length is (x+1) feet, according to the condition.


Also, from the condition you have this equation for the area


x*(x+1) = 182  ====>

x^2 + x - 182 = 0  ====>  factor left side  ====>

(x+14)*(x-13) = 0  =====>  the roots are -14 and 13, and only positive root x= 13 makes sense.


<U>Answer</U>.  The width of the room is 13 ft,  the length is 13+1 = 14 ft.
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