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

Answer:

A

Step-by-step explanation:

Answer 2

Answer:

(a) $Area = (\frac{x}{4})^2$

Step-by-step 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

$L = \frac{x}{4}$

The area of the base is then calculated as:

$Area = L^2$

$Area = (\frac{x}{4})^2$