Answer :
Answer:
(a) [tex]Area = (\frac{x}{4})^2[/tex]
Step-by-step explanation:
The question is incomplete. (See comment for complete question).
From the completed question, we have:
[tex]Total\ base\ length = x[/tex]
[tex]n = 8[/tex] --- 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.
[tex]Total\ base\ length = 4L[/tex]
Where L represents the length of each side.
This gives
[tex]4L = x[/tex]
Make L the subject
[tex]L = \frac{x}{4}[/tex]
The area of the base is then calculated as:
[tex]Area = L^2[/tex]
[tex]Area = (\frac{x}{4})^2[/tex]