Answer:
Equation of shape: x^2/169 + y^2/49 = 1
Area = 285.885 ft2
Step-by-step explanation:
The equation for a ellipse is:
x^2/a^2 + y^2/b^2 = 1
Where a is half of the horizontal axis and b is half of the vertical axis.
So, is the horizontal axis is 26 feet long and the vertical axis is 14 feet wide, we have that a = 13 and b = 7, so the equation for the shape of the garden is:
x^2/(13)^2 + y^2/(7)^2 = 1
x^2/169 + y^2/49 = 1
The area of the ellipse is calculated with this formula:
Area = pi * a * b
So as we have a = 13 and b = 7, we have that:
Area = pi * 13 * 7 = 285.885 ft2
