If the perimeter of the rectangle is 34 cm and we increase its length by 2.5 cm then there will be a difference of ______ cm in its perimeter.

If the perimeter of the rectangle is 34 cm and we increase its length by 2.5 cm then there will be a difference of ______ cm in its perimeter.

Explanation

L = length, W = width

Perimeter = 2(L + W) = 34 cm

If length increases by 2.5 cm:

New perimeter = 2(L + 2.5 + W)

= 2L + 5 + 2W

= 2(L + W) + 5

= 34 + 5

= 39 cm

Difference in perimeter = 39 - 34 = 5 cm