Okay, so first they ask for the LARGEST perimeter.
To find the perimeter is to add all the sides.
The first option is a square with the perimeter of 109.
A square has 4 sides, so we DIVIDE 109 by 4 to get each side because we know the perimeter of the square. So, its 109/4= 27.25
The second option is a hexagon, with 6 sides. The perimeter is 65, so, 65/6=10.83
The third option is a rectangle which has 3 sides. The length and width is given, which is 24-length, 46-width. So a triangle has two lengths, so we double our lengths which is 24*2=48 and then we add the width to get the perimeter. 48+46=94
The forth option is a pentagon with 5 sides, and the perimeter of 72. So 72/5=14.4
So, all in all which of the answer is largest? The rectangle.