Mrs. Delvin owns a triangular plot of ground with two congruent sides each measuring 14.8m. If there are 36.4m of fencing around the plot, what is the length of the third side?

36.4 - (2 * 14.8) = ?

2*14.8=29.6

36.4-29.6=6.8

To find the length of the third side of the triangular plot, we can use the concept of perimeter. The perimeter of any shape is the distance around the outside of the shape.

In this case, the given information tells us that the plot has two congruent sides, each measuring 14.8m. So, the perimeter is the sum of these two sides plus the length of the third side, which we need to find.

Let's call the length of the third side "x". Then, the perimeter is given by the equation:

Perimeter = Length of side 1 + Length of side 2 + Length of side 3

Given:
Perimeter = 36.4m
Length of side 1 = Length of side 2 = 14.8m
Length of side 3 = x

Now, we can substitute the known values into the equation and solve for "x":

36.4m = 14.8m + 14.8m + x

Combine like terms on the right side:
36.4m = 29.6m + x

To solve for x, subtract 29.6m from both sides:
36.4m - 29.6m = x

Simplifying the equation:
6.8m = x

So, the length of the third side is 6.8 meters.