Question

2. The Perimeter of a square is P. Which equation could be used to find its area (A)?

a. A = P2
b. A = (p/4)^2
c. A = 4P
d. A = (√p)^2

Answer 1

A = (P/4)²

Explanation:

Given

Perimeter = P

Required

Determine the area

First, we need to calculate the sides of the square using:

`P = 4L`

Where L represents the length of the side

Make L the subject

`L = \¼P`

Area is calculated as thus:

`Area = L\²`

Substitute ¼P for L

`Area = (\¼P)\²`