Question

If the perimeter of a square is 20 cm, then:

• A. side = 4 cm
• B. side = 5 cm
• C. area = 16 sq. cm
• D. area = 25 sq. cm

Answer 1

Answer: (B), (D)

area = 25 sq. cm

Given, the perimeter of the square = 20 cm.
Let the side of the square be $a$.
Step 1: The perimeter of a square can be calculated by adding the length of all the sides.

The perimeter of the given square $=a+a+a+a$
$\Rightarrow 20=4a$
Divide both sides by 4
$\Rightarrow \frac{20}{4}=\frac{4a}{4}$
$\Rightarrow 5=a$
$\Rightarrow a=5$ cm

Step 2: The area of a square is the measure of the space occupied by it. It is equal to the product of the length of its two sides.
The area of the given square $=a\times a$
$=5\times 5$
$=25$ sq. cm
Options (b.) and (d.) are correct choices.