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which is a counterexample for the conditional statement? if a square ha…

Question

which is a counterexample for the conditional statement?
if a square has side length s, then the perimeter is less than the area.
○ $s = 3$
○ $s = 5$
○ $s = 7$
○ $s = 9$

Explanation:

Step1: Define perimeter and area

Perimeter $P=4s$, Area $A=s^2$

Step2: Test $s=3$

$P=4\times3=12$, $A=3^2=9$

Step3: Compare values

$12>9$, so perimeter > area

Step4: Verify other options

For $s=5$: $P=20$, $A=25$ ($20<25$); $s=7$: $P=28$, $A=49$ ($28<49$); $s=9$: $P=36$, $A=81$ ($36<81$)

Answer:

s = 3