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

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Question 154169: Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are its dimensions?
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the width, then the length is 3x.
So its area = length*width = 3x*x = 3x^2.
As the area is 75, we have
3x%5E2=75
Solving the quadratic equation, we have
x%5E2=25 (divide both sides by 3)
So
x=sqrt%2825%29=5 or x=-sqrt%2825%29=-5
As the width can not be negative, the solution x = -5 is rejected.
Thus the width is 5, and the length is 3x=3*5 = 15.