How the area of the rectangle will change when you place its length and 20% and increase the width by 30%.

Let the length of the rectangle be a cm, the width of the rectangle – b cm.Then the area of the rectangle is:

S = a * b (cm 2).

If the length of the rectangle is reduced by 20%, then it will be equal to:

a – a * 20% = a * (100% – 20%) = a * 80% = 0.8 * a.

Let’s define the new width of the rectangle in the same way:

b + b * 30% = 1.3 * b.

Therefore, the area of the new rectangle will be:

S2 = 0.8 * a * 1.3 * b = 1.04 * a * b.

This means that the area of the rectangle ultimately increased by 1.04 times.