SOLUTION: Translate the folowing 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

Question 186813: Translate the folowing 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?
Answer by ankor@dixie-net.com(22740) (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?
:
See how easy this is:
:
Let x = the garden width
and
4x = garden length
then
x(4x) = 4x^2 = garden area
:
Given the area as 196 sq/meters
;
4x^2 = 196
4x^2 - 196 = 0; a quadratic equation, also the difference of squares, so we have:
(2x-14)(2x+14)
Positive solution:
2x = +14
x =
x = 7 m is the width
and
4(7) = 28 m is length
;
;
Check: 7 * 28 = 196
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