An elliptically shaped garden is surrounded by a wood walkway. The garden is 15 meters long and 8 meters wide. The walkway is 2 meters wide. Find an equation describing the ellipse that includes both the garden and the walkway.

Answer 1

2a = 2+15+2 = 19
2b = 2+8+2 = 14
The ellipse is
x^2/a^2 + y^2/b^2 = 1
so plug in your numbers