Final answer:
The length of the diagonal of the isosceles trapezoid is 15 feet, and the length of the shorter base is 22 feet.
Step-by-step explanation:
To find the length of the diagonal of the isosceles trapezoid, we can use the Pythagorean theorem. Let the length of the shorter base be x. Since the two non-parallel sides are each 7 feet long, the height of the trapezoid is also 7 feet. Using the Pythagorean theorem, we have (7/2)^2 + x^2 = (22/2)^2. Simplifying this equation gives x^2 = (22/2)^2 - (7/2)^2. Solving for x, we find x = 15 feet. Therefore, the length of the diagonal is 15 feet.
For part (b), since the longer base measures 22 feet long, the length of the shorter base is also 22 feet.