The area of the rectangle is 51cm and one of its sides is 17cm. Find the perimeter of this rectangle.

It is known that the area of a rectangle (S) is determined by the formula:

S = a * b, where a and b are the sides of the rectangle.

This means that if the area of the rectangle and one side are known, then you can find the second side by the formula:

b = S: a.

Find the second side of the given rectangle:

b = 51: 17 = 3 cm.

The perimeter of a rectangle (P) is equal to the sum of the lengths of all its sides:

P = a + b + a + b = 2a + 2b.

Let’s calculate the perimeter of a given rectangle:

P = 2 * 17 + 2 * 3 = 34 + 6 = 40 cm.

Answer: the perimeter of the rectangle is 40 cm.