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Explanation:

Let the breadth of the rectangle = x

Length of the the rectangle will be = 3 times of breadth = 3x

So the initial perimeter = 2(length + breadth) = 2(x + 3x) = 8x

New breadth after increase = x + 10x/100 = 1.1x

New length after increase = 3x + 30*3x/100 = 3.9x

New perimeter = 2(1.1x + 3.9x) = 10x

Percentage change in perimeter = ( 10x-8x)*100/8x = 25%