Question

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

Answer 1

A

Explanation:

Answer 2

(a)
`Area = ((x)/(4))^2`

Explanation:

The question is incomplete. (See comment for complete question).

From the completed question, we have:

`Total\ base\ length = x`

`n = 8` --- number of pyramids

Required

An expression for the area of the base

The total base length of the pyramid represents the perimeter of the base.

And since the base is a square, then the following relationship exist.

`Total\ base\ length = 4L`

Where L represents the length of each side.

This gives

`4L = x`

Make L the subject

`L = (x)/(4)`

The area of the base is then calculated as:

`Area = L^2`

`Area = ((x)/(4))^2`