The pyramid has four triangular faces and a square base.
The area of a triangle is half its base times its height. The base of each triangle is 7, and the height of each triangle is 10. So the area of each triangle is A = ½ (7) (10) = 35.
The area of a square is the side length squared. The side of the square is 7. So the area of the square is A = (7)² = 49.