Determine the amount of something mathmatically

(D) 92 m

Step-by-step explanation:

1. You can solve this using the good old pythagorean theorem: a² + b² = c², since the rectangle is just two right triangles next to each other.

2. For the python theorem, you know that the a and b are the sides of the triangle and the c is the hypotenuse of the triangle

3.  In this case, it would be:

16² + b² = 34²

4. Computed squares

256 + b² = 1156

5. Subtraction property of Equality

√b² = √900

6. Square rooted both sides

b = 30

7.  Now we know what b is, in this context, this would be the length for length AD and BC.  

8.  Since the perimeter is the total length of the shape, we do:

16 + 16 + 30 + 30 = 92

So, D is your answer.