The scale factor of two pyramids is 7. The surface area of the smaller pyramid is 28 square feet. What is the surface area of the largest pyramid?

F - 196 ft^2
G - 392 Ft^2
J - 1,372 ft^2
H - 457 ft^2

multiply by 7^2

To find the surface area of the larger pyramid, we need to use the scale factor of 7 and the surface area of the smaller pyramid, which is given as 28 square feet.

The scale factor indicates the ratio of the corresponding sides of similar figures. In this case, since it is the surface area we are looking for, we need to consider the lengths of the sides squared since the surface area is calculated by multiplying the length of each side by itself.

Since the scale factor is 7, the side lengths of the larger pyramid will be 7 times the side lengths of the smaller pyramid. Thus, the ratio of their surface areas will be the square of the scale factor, which in this case is 7^2 = 49.

To find the surface area of the larger pyramid, we multiply the surface area of the smaller pyramid by the square of the scale factor:

Surface area of larger pyramid = Surface area of smaller pyramid * Scale factor^2
Surface area of larger pyramid = 28 * 49
Surface area of larger pyramid = 1372 square feet

Therefore, the surface area of the largest pyramid is 1,372 square feet.

The correct answer is J - 1,372 ft^2.