Question

a square has an apothem measuring 2.5 cm and a perimeter of 20 cm. what is the area of the square, rounded to the nearest square centimeter? 13 cm² 25 cm² 50 cm² 100 cm²

Explanation:

Step1: Recall the formula for the area of a regular polygon

The formula for the area $A$ of a regular polygon is $A=\frac{1}{2}aP$, where $a$ is the apothem and $P$ is the perimeter.

Step2: Substitute the given values

We are given that $a = 2.5$ cm and $P=20$ cm. Substitute these values into the formula: $A=\frac{1}{2}\times2.5\times20$.
First, calculate $\frac{1}{2}\times20 = 10$. Then, $10\times2.5=25$ $cm^{2}$.

Answer:

$25$ $cm^{2}$