Question

On the 5 by 5 square grid below, each dot is 1 cm from its nearest horizontal and vertical neighbors. What is the product of the value of the area of square $ABCD$ (in cm^2$) and the value of the perimeter of square $ABCD$ (in cm)? Express your answer in simplest radical form.
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Answer 1

Answer:

We know that the square has 5 centimeters sides.

The area of a square is defined as

$A=s^{2}$

Where $s=5cm$. Replacing this value, we have

$A=(5cm)^{2} =25 \ cm^{2}$

Therefore, the area of the square is 25 square centimeters.

Its perimeter is defined as the sum of all sides, so

$P=5+5+5+5=20 \ cm$

Therefore, its perimeter is 20 centimeters.