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The square footage of an oval can be calculated using integration. Though the word "oval" is ambiguous (see Wikipedia's "Oval" page for various types), you can integrate an oval with an axis of symmetry along the x-axis by solving its equation for positive y values, then using the lower and upper bounds of the integration as the two intersections with the x-axis. Finally, double that integral to get the oval's area (square footage is a type of area)
Below I'll assume that this oval is actually an ellipse:
The ellipse is of the form x^2/a^2+y^2/b^2=1. Here, 2a=height and 2b=width of the ellipse. The general surface area/square footage of this ellipse is 4b times the integral from 0 to b of the square root of (1-x^2/a^2). You can learn more about integration in a textbook on the subject of Calculus I
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