How many times will the area of a rectangular garden area increase if its length is doubled

How many times will the area of a rectangular garden area increase if its length is doubled and its width is increased by 20%.

Let X be the width and Y the length of the section. Then its area will be S1.
1) S1 = XY – the initial area of the site.
The length was doubled, so it became 2U. The width was increased by 20%.
2) X + 20% / 100% * X = 1.2X – the width of the section increased by 20%.
3) S2 = 2U * 1.2X = 2.4UX – the area of the enlarged area.
4) S2 / S1 = 2.4XY / XY = 2.4. Consequently, the area of a garden plot will increase 2.4 times if its length is doubled and its width by 20%.