If the perimeter of the rectangle is 34 cm and we increase its length by 2 cm, then there will be a difference of ___ cm in its perimeter.
- 8
- 4
- 2
- None of these
Explanation
Let's denote the original length and width of the rectangle as L and W, respectively.
The original perimeter is:
2L + 2W = 34
If we increase the length by 2 cm, the new perimeter will be:
2(L + 2) + 2W
= 2L + 4 + 2W
The difference in perimeter is:
(2L + 4 + 2W) - (2L + 2W)
= 4
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