Question 203985

Let width of garden be w

Since length is 4 times width, then length = 4w

Since the area of the garden is 196 square meters, then we'll have:  w(4w) = 196


QUADRATIC EQUATION: {{{highlight_green(4w^2 - 196 = 0)}}}


{{{4(w^2 - 49) = 0}}}


(w - 7)(w + 7) = 0


w = 7 , or - 7


The negative value (-7) is rejected because you CANNOT have a negative measurement for width.


Therefore, w, or width of garden = {{{highlight_green(7)}}} meters, and length = {{{highlight_green(28)}}} meters.