SOLUTION: 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 a

Question 186558: 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 checkley77, Earlsdon:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
L=4W
LW=196
4W*W=196
4W^2=196
W^2=196/4
W^2=49
W=7 M IS THE WIDTH OF THE GARDEN.
L=4*7
L=28 M IS THE LENGTH OF THE GARDEN.
PROOF:
7*28=196
196=196
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start with the formula for the area of a rectangle:
Substitute "The length is four times the width."
Substitute A = 196 "The area is 196 sq. meters."
Subtract 196 from both sides.
Divide both sides by 4.
This is the quadratic equation which can be solved by factoring.
so that...
or Discard the negative solution as the width is a positive quantity.
The width is 7 meters and the length is 4*7 = 28 meters.
RELATED QUESTIONS
Translate the following into a quadratic equation, and solve it: The length of a... (answered by RAY100)
Translate the following into a quadratic equation, and solve it: The length of a... (answered by user_dude2008,RAY100)
4. Translate the following into a quadratic equation, and solve it: The length of a... (answered by solver91311)
Translate the folowing into a quadratic equation, and solve it: The length of a... (answered by ankor@dixie-net.com)
Translate the following into a quadratic equation, and solve it: The length of a... (answered by Earlsdon)
Translate the following into a quadratic equation and solve it: The length of a... (answered by stanbon)
Translate the following into a quadratic equation, and solve it: The length of a... (answered by orca)
please help! Translate the following into a quadratic equation, and solve it: The... (answered by rfer)
Translate the following into a quadratic equation and solve it: The length of a... (answered by oscargut)