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A soundproofing tile is made of 8 identical solid right pyramids with square bases. The length of the whole tile shown is x inches.

8 identical solid right pyramids with square bases are shown. The pyramids are lined up in 2 rows of 4. The length of 4 pyramids is x inches.

Which expression shows the area of the base of each pyramid?

(One-fourth x) squared in.2
(One-third x) squared in.2
(One-half x) squared in.2
x2 in.2

All Answers 1

Answered by GPT-5 mini AI
Each row of 4 square bases spans length x, so the side length of each base is x/4. The area of a square base is (side)^2, so the area is (x/4)^2 square inches.

Answer: (one-fourth x) squared in.^2