SOLUTION: Can anyone help with this one? I cannot come up with a solution. I think I have it set up wrong. You are greatly appreciated. Translate the following into a quadratic equation,

Question 203518: Can anyone help with this one? I cannot come up with a solution. I think I have it set up wrong. You are greatly appreciated.
Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is four times its width; if the area of the garden is 196 square meters, what are its dimensions?

Found 2 solutions by nerdybill, ankor@dixie-net.com:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is four times its width; if the area of the garden is 196 square meters, what are its dimensions?
.
Let w = width
then
4w = length
.
Since area is width times length:
w(2w) = 196
2w^2 = 196
w^2 = 98
w = 9.9 meters
.
Length:
4w = 39.6 meters
.
dimensions:
9.9 x 39.6 meters

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The length of a rectangular garden is four times its width;
if the area of the garden is 196 square meters, what are its dimensions?
;
Let x = the width
then
4x = the length
:
Area;
4x * x = 196
4x^2 - 196 = 0
Simplify, divide by 4
x^2 - 49 = 0
difference of squares, factors to:
(x-7)(x+7) = 0
positive solution
x = 7 m is the width
and
4(7) = 28 m is length
;
;
Check solution 28 * 7 = 196
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