The area of one square is 64 cm 2 and the area of the other is 17 cm 2

The area of one square is 64 cm 2 and the area of the other is 17 cm 2 more find the length of the side of the other square.

To solve the problem, we need a formula for calculating the area of ​​a square:

S square = a x a = a2, where S is the area, a is the side of the square.

From this formula, we express a:

a = √S.

1) Find the area of ​​the second square. By the condition of the problem, it is 17 cm2 larger than the area of ​​the first square (and it is equal to 64 cm2):

64 + 17 = 81 (cm2).

2) Find the side of the second square by substituting the value of its area into the derived formula:

a = √81.

This equation has 2 roots:

a1 = -9 – this value does not suit us, since the length of the side of a square cannot be expressed as a negative number.

a2 = 9 (this value is suitable).

Answer: the side of the second square is 9 cm.