The rectangular prism is to be sliced perpendicular to the shaded face is to pass through point A, perpendicular to the front face. What will the dimensions of the rectangular cross section be? A:4 inches by 6 inches. B 4 inches by 3 inches. C:3 inches by 6 inches. D:2 inches by 6 inches.

Step-by-step explanation:

Notice that point A is a mid point. If we cut the prism though that point, perpendicular to the shaded face, it means the side of 4 inches will be divide in two equal parts, and the 3-6 inches face won't be cut.

Therefore, the dimensions of the cross section is 3 inches by 6 inches, which are the dimensions of the face that won't be cut, because they don't intersect with point A.

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.