Question 891125
length = x + 5


width = x


Area = 36


Use A = length times width


36 = (x+5)(x)


36 = x^2 + 5x


x^2 + 5x - 36 = 0


Factor left side.


(x + 9)(x - 4) = 0


Set each factor to zero and solve for x.


REJECT the negative answer since we are looking for length.

x + 9 = 0

x = -9...REJECT this x value.

x - 4 = 0

x = 4...ACCEPT this value of x.


The length is x + 5 or 4 + 5 = 9cm.

The garden is 9cm long.