Answer: Option 'C' is correct.
Explanation:
Since we have given that
Height of trapezoid = 4 ft
Length of longer side= 'a' = 13 ft
Length of shorter side = 'b' = 9 ft
Due to height of 4 meter there will be right angle triangle at the corners.
In right angled triangle:
![H^2=B^2+P^2\\\\H^2=4^2+2^2\\\\H^2=16+4\\\\H^2=20\\\\H=√(20)\\\\H=2√(5)\ ft](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lpnxc22xi29kkqf8p7mtl3zkene1uji24u.png)
Since it is isosceles trapezoid, then there two non parallel sides should be equal.
So, Perimeter of isosceles trapezoid is given by
![13+9+2√(5)+2√(5)\\\\=22+4√(5)\\\\=30.94\ ft](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rwodeove8182o34ojtp2ega39d5nimgm3l.png)
Hence, option 'c' is correct.