SOLUTION: Please help me translate the following into a quadratic equation and solve it. Thanks! The length of a rectangle garden is three times it width; if the area of the garden is 75

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please help me translate the following into a quadratic equation and solve it. Thanks! The length of a rectangle garden is three times it width; if the area of the garden is 75       Log On


   

Question 139155: Please help me translate the following into a quadratic equation and solve it. Thanks!
The length of a rectangle garden is three times it width; if the area of the garden is 75 square meters; what are its dimensions?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x=width, so 3x=length

area equals length times width __ 75=3x(x) __ 75=3x^2

3x^2-75=0 __ dividing by 3 __ x^2-25=0 __ factoring __ (x+5)(x-5)=0

x+5=0 __ x=-5 __ negative value not realistic

x-5=0 __ x=5