Answer:
1/6
Step-by-step explanation:
First, we need to find the perimeters of both shapes.
The first shape is a rectangle, so the opposite sides will have equal values. The length is 3/12 and the width is 1/6. Put these into the rectangular perimeter formula:
2(3/12) + 2(1/6) = P
6/12 + 2/6 = P
These need to share a common denominator to be added. 6 * 2 = 12, so multiply 2 by 2.
6/12 + 4/12 = P
6 + 4 = 10
10/12 = p
Now for the perimeter of the triangle. The lines on each line tell us all 3 sides are equal. Therefore:
3l = P
The length of a side is equal to 1/3 as shown
3(1/3) = P
3/3 = P
Now convert 3/3 to share a common denominator with 10/12
12/12
Since 12 > 10, we will divide the perimeter of the triangle by the perimeter of the rectangle.
12/12 - 10/12 = 2/12
2 and 12 share a factor, so we will simplify
1/6
The difference between the perimeters is 1/6.
