The length of the side AB of the rectangle is 8 cm more than the length of the side BC.

The length of the side AB of the rectangle is 8 cm more than the length of the side BC. If the length AB is increased by 6 times, and the length of the BC is increased by 10 times, you will get equal results. Find the length AB.

1) Let’s designate the side BC – x, then the side AB – x + 8 cm. Since it is 8 cm more.
2) After magnification: BC – 10x, AB – 6 (x + 8) cm.
6 (x + 8) = 10x.
6x + 48 = 10x.
-4x = – 48.
x = 12.
Since AB = x + 8, then AB = 12 + 8 = 20 cm.
Therefore, the correct answer is 20 cm.