Final answer:
The lengths of the legs of the sun shade can be found using the equation x^2 = 64 and taking the square root of both sides.
Step-by-step explanation:
To find the lengths of the legs of the sun shade, we can use the equation x^2 = 64. This equation represents the area of the shade, which is 64 square feet. Taking the square root of both sides, we find that x = 8. Therefore, the length of each leg of the sun shade is 8 feet.