Answer for Question #1.
The equation use to find the length of the base of a triangle is

.
Answer for Question #2.
The length of the base of a triangle is 12 m.
Answer for Question #3.
The equation use to find the dimensions of the new garden is
208 = (10 + x)(13 + x).
Answer for Question #4.
The width of the new garden is 12 m.
Answer for Question #5.
The length of the new garden is 17 m.