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
Algebra.Com
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. ☺☺☺☺
RELATED QUESTIONS
The length of a rectangular floor is 1 meter less than three times its width. If a... (answered by josgarithmetic)
The length of a rectangle floor is 8 meter less than twice its width. If a diagonal of... (answered by checkley77,Mathtut)
The length of a rectangular floor is 3 meters less than three times its width. If a... (answered by graphmatics)
the length of a rectangle is one more meter longer than its width . Its diagonal is 29... (answered by josgarithmetic)
The length of a rectangle is one meter less than three times the width. If the perimeter... (answered by CubeyThePenguin)
The length of the rectangle is 1 meter less than twice its width. What are the dimensions (answered by rfer)
a rectangle is 5 meter longer than what its width is. if the perimeter of the triangle is (answered by ikleyn)
The length of a rectangle is three times its width. If the width is decreased by 1 meter... (answered by josgarithmetic)
the length of the yard is 1 meter less than two times the width. if the perimeteris 70... (answered by ewatrrr)