The perimeter of the rounded rectangle in the image is 48 inches.
The perimeter is the total length of all the sides of the shape added together.
In this case, the figure has two long sides, two short sides, and four quarter-circle segments.
The two long sides are each 2 yards, or 24 inches.
The two short sides are each 6 inches.
The four quarter-circle segments can be calculated by assuming the radius of the circle is 3 inches, which makes the diameter of the circle 6 inches.
The circumference of the circle is then pi times the diameter, or 18.84 inches.
Since there are four quarter-circle segments, the total length of the quarter-circle segments is 18.84 inches / 4 = 4.71 inches.
Adding up the lengths of all the sides gives you the perimeter:
24 inches + 24 inches + 6 inches + 6 inches + 4.71 inches + 4.71 inches = 48 inches.
Therefore, the perimeter of the rounded rectangle in the image is 48 inches.