Draw a rectangle, the perimeter of which is 180mm, and the length of one side is 4cm longer than the length of the other.

Let’s denote the smaller side of the rectangle as x, then the length of the other side will be equal to x + 4 according to the problem statement. Since the length of the perimeter is given to us by condition, bringing it to a centimeter and substituting the values into the formula for finding the perimeter on two sides. Let’s find the lengths of the sides.

180mm = 18cm

18 = 2 * (x + x + 4)

9 = 2 * x + 4

2 * x = 9 – 4 = 5

x = 5/2 = 2.5 cm is the length of the first side.

Find the length of the second side.

2.5 + 4 = 6.5 cm

Answer: The lengths of the sides of the rectangle are 2.5 cm and 6.5 cm.