Question 203518
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