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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

Respuesta :

Answer:

B. [tex]25\text{ cm}^2[/tex]

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:

[tex]\text{Area of square}=\frac{a*p}{2}[/tex], where,

[tex]a=\text{Apothem of the square}[/tex],

[tex]p=\text{Perimeter of the square}[/tex].

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

[tex]\text{Area of square}=\frac{2.5\text{ cm}\times 20\text{ cm}}{2}[/tex]

[tex]\text{Area of square}=2.5\text{ cm}\times 10\text{ cm}[/tex]

[tex]\text{Area of square}=25\text{ cm}^2[/tex]

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

raphealnwobi

The area of the square with a perimeter of 20 cm is 25 cm².

Square

A square is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel. All the sides of a square have the same length and each angle measure 90 degrees.

Let l represent the length of each side of the square, hence:

  • 4l = Perimeter
  • 4l = 20
  • l = 5 cm

The area of the square = length * length = 5 cm * 5 cm = 25 cm²

The area of the square with a perimeter of 20 cm is 25 cm².

Find out more on square at: https://brainly.com/question/8429946