Find the length of a side of a square if its area is 4/25 cm^2. *

To find the area of a 2d object, you need to multiply length and width together. Since it's a square, all the sides are the same length, so that makes it easier. We need to find the square root of 4 and 25. [tex]\sqrt{4}[/tex] is 2, and [tex]\sqrt{25}[/tex] is 5.

Now we need to multiply 2/5 by itself to check. 2/5 x 2/5 = 0.16, or 4/25. The answer is correct. The final result is 2/5. Hope this helped!! :]

MrRoyal MrRoyal · Answer 2 · 2021-09-16T11:59:51+02:00

The area of a square is the square of one of its side lengths. The length of a side of the square is 2/5 cm

Given:

[tex]Area = \frac{4}{25}cm^2[/tex]

Shape: Square

The area of a square is:

[tex]Area = Length^2[/tex]

So, we have:

[tex]Length^2 = \frac 4{25}cm^2[/tex]

Take positive square roots of both sides

[tex]Length = \sqrt{\frac 4{25}cm^2}[/tex]

[tex]Length = \frac 2{5}cm[/tex]

Hence, the length of the square where the area is [tex]\frac 4{25}cm^2[/tex] is [tex]\frac 2{5}cm[/tex]

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