The width of the rectangle is 30 mm less than the length, find the lengths of the sides of this rectangle

The width of the rectangle is 30 mm less than the length, find the lengths of the sides of this rectangle if its perimeter is 14 cm.

For the convenience of solving the problem, we first translate all known quantities into one.

Since 1 cm is 10 mm, we get:

14 * 10 = 140mm (Perimeter of the rectangle).

Since the perimeter is twice the sum of the sides, the difference in perimeter between length and width is:

30 * 2 = 60 mm.

We find the value of the perimeter without taking into account the difference.

140 – 60 = 80 mm.

Since the rectangle has only 4 sides, the width is:

80/4 = 20 mm.

Find the length of the rectangle.

20 + 30 = 50 mm.

We translate into centimeters.

20/10 = 2 cm.

50/10 = 5 cm.

Answer: 2 and 5 cm.