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?
A. 13 cm2
B.25 cm2
C.50 cm2
D.100 cm2

Answer 1

The apothem of a square is equal to half its side length. Therefore, the square has a side length of 5. The area of a square equals the s^2. Therefore, the area of the square is 5^2=25. (B)

Answer 2

Answer:

B. $25\text{ cm}^2$

Step-by-step explanation:

We have been given that a square has an apothem measuring 2.5 cm and a perimeter of 20 cm.

To find the area of square with given apothem we will use formula:

$\text{Area of square}=\frac{a*p}{2}$, where,

$a=\text{Apothem of the square}$,

$p=\text{Perimeter of the square}$.

Upon substituting our given values in above formula we will get,

$\text{Area of square}=\frac{2.5\text{ cm}\times 20\text{ cm}}{2}$

$\text{Area of square}=2.5\text{ cm}\times 10\text{ cm}$

$\text{Area of square}=25\text{ cm}^2$

Therefore, the area of our given square will be 25 square cm and option B is the correct choice.