Answer:
a. 2
Step-by-step explanation:
Area of a square is calculated as:
[tex]Area = Length * Length[/tex]
And the perimeter is
[tex]Perimeter = 4 * Length[/tex]
For (a):
[tex]Length = 2[/tex]
[tex]Area = 2 * 2 = 4[/tex]
[tex]Perimeter = 4 * 2 = 8[/tex]
For(b):
[tex]Length = 4[/tex]
[tex]Area = 4 * 4 = 16[/tex]
[tex]Perimeter = 4 * 4 = 16[/tex]
For (c):
[tex]Length=7.5[/tex]
[tex]Area = 7.5 * 7.5-56.25[/tex]
[tex]Perimeter = 4 * 7.5 = 30,[/tex]
For (d):
[tex]Length = 10[/tex]
[tex]Area = 10 * 10 = 100[/tex]
[tex]Perimeter = 4 * 10 = 40[/tex]
For (e):
[tex]Length = 125[/tex]
[tex]Area = 125 * 125 =15625[/tex]
[tex]Perimeter = 4 * 125 = 500[/tex]
From (a) to (e), only side length 2 has a higher perimeter.
Hence, it disproves the statement
