The length of the rectangle is 20cm, the width is 10cm if you reduce the length by 10% and increase

The length of the rectangle is 20cm, the width is 10cm if you reduce the length by 10% and increase the width by 20%, then what will be the area of this rectangle

We find by how many centimeters the length of the rectangle will decrease.

We multiply the initial value by the percentage.

20 * 10% / 100% = 20 * 0.1 = 2 cm.

So the new length will be:

20 – 2 = 18 cm.

Determine how many centimeters the width of the rectangle will increase.

10 * 20% / 100% = 10 * 0.2 = 2 cm.

So the width will be:

10 + 2 = 12 cm.

The new area will be equal to:

18 * 12 = 216 cm2

The initial area of the rectangle is:

20 * 10 = 200 cm2

So it will change to:

216 – 200 = 16 cm2

Answer:

The area will increase by 16 cm2