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

Respuesta :

Answer:

option A

Step-by-step explanation:

The area of the pyramid is given by; Option A: (¹/₄x)² in²

What is the area of the pyramid?

One side of tile consists of 4 pyramids and the length of the whole tile is x. Thus;

The base length of each pyramid = x/4

The area of the base of the pyramid is given by;

A = side * side

Thus;

A = (x/4) * (x/4)

⇒ (¹/₄x)² in²

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