One side of a rectangle is 20 cm larger than the other side. if you make the smaller side two times larger and the larger side three times larger, then the perimeter of the new rectangle would be 240 cm. find the lengths of the sides of the original rectangle.

show work.

The answer is 12 cm and 32 cm.

Step-by-step explanation: Let, 'x' cm be the breadth of the rectangle, then according to the question, the length will be (x + 20) cm.

Also, given that if the smaller side is made two times larger and the larger side three times larger, then the perimeter of the new rectangle would be 240 cm. So, we have

So, the width of the original rectangle is 12 cm and its length will be (12 + 20) cm = 32 cm.

Thus, the lengths of the sides of original rectangle are 12 cm and 32 cm.