Answer: 72 inches
Step-by-step explanation:
You are given that equilateral triangle BFC is cut out of square ABCD, since it is an equilateral triangle, that is all sides are equal to each other, we can therefore find the side of a triangle.
Given that the perimeter of square ABCD was 48 inches.
Perimeter of a square = 4L
Substitute 48 into the formula
48 = 4L
L = 48/4 = 12 inches
That means each length = 12 inch
Perimeter P of the shaded figure ABFCDE will be
P = AB + BF + FC + CD + DE + EA
P = 12 + 12 + 12 + 12 + 12 + 12
P = 72 inches
Therefore, the perimeter of ABFCDE is 72 inches.
