Answer:
(6+x)*x = 55
x^2 + 6x -55 = 0
Find all the factors of -55
-1 * 55
-5 * 11 ✓
-11 * 5
-55 * 1
Which on has a difference of +6?
(x + 11)(x - 5) = 0
Set both equal to 0 and solve for x
x + 11 = 0
x = -11
x - 5 = 0
x = 5
Since we are dealing with length, then we have to have a positive number. So we have to use x = 5.
length = 6 + 5 = 11
width = 5
