Question

which figure has a greater perimeter?

Explanation:

Step1: Calculate perimeter of hexagon

The hexagon has 6 sides of length 16 in. Perimeter formula for a regular polygon is $P = n\times s$ (where $n$ is number of sides and $s$ is side - length). So, $P_{hexagon}=6\times16 = 96$ in.

Step2: Calculate perimeter of octagon

The octagon has 8 sides of length 11 in. Using the same formula $P = n\times s$, we get $P_{octagon}=8\times11 = 88$ in.

Step3: Compare perimeters

Since $96>88$, the hexagon has a greater perimeter.

Answer:

The hexagon