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pochemuha
3 years ago
12

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
Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
6 0
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)
dezoksy [38]3 years ago
3 0

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.

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