Question

question 14 of 25
2025 - 2026 t - math - geo - t1and2 - cbt
question 1 - 14
a statement is given below.
“the number of square units in the area of a square is greater than or equal to the number of units in the perimeter of the square”
which side length of a square provides a counterexample to the given statement?
2 units
10 units
6 units
4 units

Explanation:

Step1: Definir fórmulas

Sea $s$ la longitud del lado del cuadrado. La fórmula del área $A$ de un cuadrado es $A = s^{2}$, y la fórmula del perímetro $P$ es $P=4s$.

Step2: Probar cada opción

Para $s = 2$:
$A=2^{2}=4$ y $P = 4\times2=8$. Aquí $APara $s = 10$:
$A = 10^{2}=100$ y $P=4\times10 = 40$. Aquí $A>P$.
Para $s = 6$:
$A=6^{2}=36$ y $P=4\times6 = 24$. Aquí $A>P$.
Para $s = 4$:
$A=4^{2}=16$ y $P=4\times4 = 16$. Aquí $A = P$.

Answer:

A. 2 units