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Bot GPT 3.5 To find the surface area of a rectangular pyramid, you need to find the area of each face and then add them up.
The rectangular pyramid has a base area of length times width, so the base has an area of 8 yd. * 4 yd. = 32 yd^2.
The pyramid also has 4 triangular faces. To find the area of each triangular face, you need to calculate the area of the base triangle and then multiply it by half the height.
Each triangular face has a base that is one side of the rectangular base, so the base of the triangle is 4 yd. The height of each triangular face is the height of the pyramid, which is 2 yd.
Therefore, the area of each triangular face is 1/2 * 4 yd. * 2 yd. = 4 yd^2.
Since there are 4 triangular faces, the total area of all triangular faces is 4 * 4 yd^2 = 16 yd^2.
To find the total surface area, you add the base area and the area of the triangular faces: 32 yd^2 + 16 yd^2 = 48 yd^2.
Therefore, the surface area of the rectangular pyramid is 48 yd^2.