Question

which figure has a greater perimeter?

Explanation:

Step1: Calculate triangle perimeter

The perimeter of a triangle $P_{triangle}$ with side - lengths $a = 8$ cm, $b = 8$ cm, $c = 8$ cm is $P_{triangle}=a + b + c$. So $P_{triangle}=8 + 8+8=24$ cm.

Step2: Calculate hexagon perimeter

The perimeter of a regular hexagon $P_{hexagon}$ with side - length $s = 5$ cm. Since a hexagon has 6 sides, $P_{hexagon}=6\times s$. So $P_{hexagon}=6\times5 = 30$ cm.

Step3: Compare perimeters

Since $24\lt30$, the hexagon has a greater perimeter.

Answer:

The hexagon has a greater perimeter.