SOLUTION: Translate the following into a quadratic equation, and solve it: the length of a rectangluar garden is three times its width; if the area of the garden is 75 square meters, what

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Translate the following into a quadratic equation, and solve it: the length of a rectangluar garden is three times its width; if the area of the garden is 75 square meters, what      Log On


   

Question 125035: Translate the following into a quadratic equation, and solve it:
the length of a rectangluar garden is three times its width; if the area of the garden is 75 square meters, what are the dimensions?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
x = width
3x = length
Area = Length X Width, so A=3x%2Ax=3x%5E2

3x%5E2=75

x%5E2=25

red%28x%5E2-25=0%29, which is your quadratic equation in standard form.


Factors to:

%28x%2B5%29%28x-5%29=0

So, x=-5 or x=5. The negative result doesn't make much sense in terms of the dimensions of a rectangle, so we can exclude that root. The width of the rectangle is therefore 5 meters, and the length is 3 * 5 =15 meters.