Asquare pyramid is sliced parallel to the base, as shown. what is the area of the resulting two-dimensional cross-section? square pyramid intersected horizontally by a rectangle. the base of the pyramid measures 10 feet by 10 feet, and the height is 12 feet. the part of the rectangle that intersects the pyramid is a gray square. the square measures 4 feet by 4 feet. a.16 ft² b.40 ft² c.48 ft² d.120 ft²

Option A is correct.

Step-by-step explanation:

Given a square pyramid is sliced parallel to the base, we have to find the area of the resulting two-dimensional cross-section.

Square pyramid intersected horizontally by a rectangle. The base of the pyramid measures 10 feet by 10 feet, and the height is 12 feet. The part of the rectangle that intersects the pyramid is a gray square. The square measures 4 feet by 4 feet.

Now, we have to find the area of the resulting two-dimensional cross-section i.e of grey square whose dimensions are 4 feet by 4 feet.

Hence, area of resultant cross-section is 16 square feet.

Option A is correct.

combine all like terms then its just a 2 step equation