Question

which figure has a greater perimeter?

Explanation:

Step1: Calculate perimeter of triangle

Perimeter of triangle = sum of side - lengths. So, $P_{triangle}=10 + 6+8=24$ mm.

Step2: Calculate perimeter of pentagon

Perimeter of pentagon = sum of side - lengths. Since it's a regular pentagon with side - length 4 mm, $P_{pentagon}=4\times5 = 20$ mm.

Step3: Compare perimeters

Since $24>20$, the triangle has a greater perimeter.

Answer:

The triangle has a greater perimeter.