An equilateral triangle has a side of 8. If one corner of the triangle is removed by slicing off an equilateral triangle of side 2, find the perimeter of the remaining quadrilateral.

The remaining quadrilateral will have side lengths of 8, (8-2), (8-2), and 2.

Add them up for the perimater.

To find the perimeter of the remaining quadrilateral, we first need to determine the length of the remaining sides.

Let's break down the problem step by step:

1. Start with the equilateral triangle with a side length of 8.

2. Remove one corner of the triangle by slicing off an equilateral triangle with a side length of 2. This will leave us with three sides of the original triangle and one side of the smaller triangle.

3. We know that the original triangle is equilateral, which means all three sides are equal in length. Therefore, each side of the original triangle has a length of 8.

4. After removing the smaller triangle, we are left with one side of length 2. This side is one of the sides of the original triangle.

To find the remaining sides of the quadrilateral, we need to subtract the length of the side we removed (2) from the length of each side of the original triangle (8).

Therefore, the remaining sides of the quadrilateral will have a length of (8 - 2) = 6.

Now we can find the perimeter of the remaining quadrilateral by adding up the lengths of all its sides.

The perimeter of a quadrilateral with side lengths a, b, c, and d is given by the formula: perimeter = a + b + c + d.

In our case, since all remaining sides have a length of 6, the perimeter of the remaining quadrilateral will be:
perimeter = 6 + 6 + 6 + 2.

Calculating this, we get:
perimeter = 20.

So, the perimeter of the remaining quadrilateral is 20 units.