SOLUTION: the length of a rectangular floor is 1 meter less than three times its width if a diagonal of the rectangle is 37 meters find the length of the floor
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Question 1077370: the length of a rectangular floor is 1 meter less than three times its width if a diagonal of the rectangle is 37 meters find the length of the floor Answer by jorel1380(3719) (Show Source):
You can put this solution on YOUR website! Let w be the width of the floor. Then its length is 3w-1. So:
w²+(3w-1)²=37²
w²+9w²-6w+1=1369
10w²-6w-1368=0
5w²-3w-684=0
(5w+57)(w-12)=0
w=-57/5 or 12
Using the positive value of 12m for the width, we get the length to be 35m. ☺☺☺☺
