How will the perimeter and area of the rectangle change if each side is increased by 4 cm?

Answer: the perimeter of the rectangle will increase by 16 cm.

It is impossible to determine how many times the area will increase, since with different values ​​of the sides of the rectangle, we will receive different values ​​of the change in area.

Evidence:

1) We have a rectangle with sides 3 and 4 cm.

Let’s find its perimeter:

3 + 3 + 4 + 4 = 14 (cm) – the perimeter of the starting rectangle.

Let’s increase the sides of the rectangle by 4. We get:

3 + 4 = 7; 4 + 4 = 8.

The sides of the new rectangle are 7 and 8 cm.Let’s find its perimeter:

7 + 7 + 8 + 8 = 30 (cm) – the perimeter of the new rectangle.

Let’s find how much the perimeter has increased:

30 – 14 = 16 (cm).