Question

which figure has a greater perimeter?

Explanation:

Step1: Calculate triangle perimeter

The perimeter of a triangle is the sum of its side - lengths. For a triangle with side - lengths 8 yd, 8 yd, and 8 yd, the perimeter $P_{triangle}=8 + 8+8=24$ yd.

Step2: Calculate octagon perimeter

The perimeter of a regular octagon is the product of the number of sides and the length of one side. An octagon has 8 sides, and each side has a length of 4 yd. So the perimeter $P_{octagon}=4\times8 = 32$ yd.

Step3: Compare perimeters

Since $32>24$, the octagon has a greater perimeter.

Answer:

The octagon