SOLUTION: 2. The perimeter of a rectangular flower garden is 60 m and its area is 225 m2. Find the length of the garden.

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Question 971060: 2. The perimeter of a rectangular flower garden is 60 m and its area is 225 m2. Find the length of the garden.
Answer by amarjeeth123(569)   (Show Source): You can put this solution on YOUR website!
Let the length of the garden be x.
Perimeter=2(length+width)
2(x+width)=60
x+width=30
width=30-x
Area of the garden=225
Area=length*width
x(30-x)=225
30x-x^2=225
x^2-30x+225=0
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=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: 15, 15. Here's your graph:

x=15
The length of the garden is 15 m.
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