The areas of two squares are 2: 5. The side of the larger square is 8 cm. Find the side of the smaller square.

First of all, we find the area of the larger square, provided that its side is 8 cm, according to the formula:

S = a² = 8 * 8 = 64 cm².

Since the S of the lesser refers to him as 2: 5. Therefore:

64: 5 = 12.8 is the value of one part.

Let’s perform the action:

12.8 * 2 = 25.6 cm² – the area of the second such figure.

Hence its length:

a = √S = √25.6 = 5.06 cm.