Let a and b be the length and width of the rectangle in cm (a > b > 0), then 2a + 2b = 62

The area of the new rectangle is :

(a + 2)(b + 2) = ab + 2a + 2b + 4 = ab + 66

So, the answer is 66 cm²

We have: The perimeter = 62 cm

=> \(\dfrac{1}{2}\) perimeter = 62 : 2 = 31 cm

The area of the each increased is:

2 . 2 = 4 cm

So square centimeters does area increase is:

4 . 31 = 124 cm²

Ans: 124 cm²

N/t: But I don't certain