Question

Cutting equilateral triangle BFC out of square ABCD and translating it to the left of the square creates the shaded figure ABFCDE. The perimeter of square ABCD was 48 inches. What is the perimeter, in inches, of ABFCDE?

Answer 1

72

Explanation:

We know that each side of a square is equal so if the perimeter is 48 then 48/4 = 12 and knowing the bottom of that triangle cut out is 12 we can solve each side 12 since its a equilateral triangle.

12*6= 72 = answer

Answer 2

Answer: 72 inches

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.