SOLUTION: The length of a rectangular flower bed is 11 feet less than 3 times its width. The area of the bed is 20 ft^2. Find the dimensions of the flower bed.

Question 630170: The length of a rectangular flower bed is 11 feet less than 3 times its width. The area of the bed is 20 ft^2. Find the dimensions of the flower bed.
Answer by graphmatics(170) (Show Source): You can put this solution on YOUR website!
Let w be the width of the rectangle then the length is 3w-11. For the area we have that .

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=361 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 5, -1.33333333333333. Here's your graph:

. The width is 5 ft and the length is 3*5-11=4
RELATED QUESTIONS
The length of a rectangular flower bed is 11 ft. less than 3 times its width. The area of (answered by mananth)

Please help me solve this word problem: The length of a rectangular flower bed is 3... (answered by 067isa,checkley71,TakeATuition.com)

The length of a rectangle flower bed is 7 feet less than 3 times its width. The area of... (answered by solver91311)

The width of a rectangular flower bed is 3 meters less than its length. The area of... (answered by checkley79)

The length of a rectangular flower bed is 7 ft. less than 3 times it's width. The area of (answered by scott8148)

The length of arectangular flower bed is 3 feet less than twice its width. the area of... (answered by edjones)

the length of A rectangular flower bed is 10 inches more than it's width , its area is... (answered by Alan3354)

A rectangular flower bed is eight feet longer than it is wide. If the area of the flower... (answered by checkley77)