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

Algebra ->  Quadratic Equations and Parabolas -> 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      Log On


   



Question 193709This question is from textbook
: 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? Thank You This question is from textbook

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Area = L * W, but L=4w,,, A = 4w*w = 4 w^2
Given A=196=4 w^2
49=w^2
w= +/- 7,, (-7 is not realistic) therefore w=7
,
Dimensions are,,,,7 by 28 ***********
,
checking
A=l*w = 28*7=196,,,ok