finish this Let's start by finding the lateral area of the triangular pyramid, which is the sum of the areas of the four triangles. We can use the formula for the area of a triangle, which is 1/2 * base * height, where the base is one of the sides of the pyramid and the height is the slant height.
The base of the pyramid is given as 4 ft, and the slant height is given as 7 ft. Therefore, the area of one of the triangles is 1/2 * 4 ft * 7 ft = 14 ft^2.
Since there are four triangles, the total lateral area of the pyramid is 4 * 14 ft^2 = 56 ft^2.
We also know that the total surface area of the pyramid, including the base, is 65 ft^2. The area of the base can be found using the formula for the area of a triangle, which is 1/2 * base * height, where the base is
the length of one side of the triangle and the height is the perpendicular distance from the base to the apex of the pyramid. However, the height is not given in this problem.
So, let's proceed with finding the total surface area of the pyramid. We know that the total surface area is the sum of the lateral area and the area of the base. We already found the lateral area to be 56 ft^2.
To find the area of the base, we need to know the dimensions of the base. However, they are not given in the problem. Without the base dimensions, we cannot determine the area of the base, and therefore, we cannot find the total surface area of the pyramid.
Therefore, we cannot complete the problem with the given information.