Answer:
(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.
