# What is the side of a square that has the same area as a rectangle with sides of 16 cm and 4 cm?

Solution.

1. Find the area of the rectangle:

S = a * b = 16 * 4 = 64 (cm ^ 2).

2. The area of the square is equal to the area of the rectangle according to the problem statement. The formula for the area of a square is S = a ^ 2. Knowing the area of the square, we find its side:

a = √S = √64 = 8 (see)

Answer: the side of the square is 8 cm.

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