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

Question 35900: 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 Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start with the formula for the area of a rectangle:
In your problem, L = 3W...substitute this into the basic formula.

But the area (A) is given as 75 square meters.
Subtract 75 from both sides.
There's the quadratic equation.
To solve, factor out a 3.
Apply the zero products principle.
Solve by factoring.
Apply the zero products principle.
and/or
If then This is an acceptable solution since W is positive.
If then This is not meaningful as the width, W, must be a positive value.
The width (W) is 5 meters.
The length (L) is 3W = 3(5) = 15 meters.
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