How will the perimeter and area of the rectangle change if one of its sides is increased by 2 cm

How will the perimeter and area of the rectangle change if one of its sides is increased by 2 cm, and the other is reduced by 2 cm?

The perimeter of the rectangle is equal in value to the sum of the lengths of all sides. Let a be the length of the rectangle, then b is its width. We get the following expression.

the perimeter is a + b.

Add and subtract 2.

Perimeter = a + 2 + b – 2 = a + b (since 2 and – 2 extinguish each other)

Perimeter response does not change.

Area = a * b

Add and subtract 2.

(a + 2) * (b – 2) = a * b – 2 * a + 2 * b – 4. – the first case,

(a – 2) * (b + 2) = a * b + 2 * a – 2 + b – 4. – the second case.

That is, the area changes in different ways.

Answer: the perimeter does not change, the area changes in different ways.