The ratio of the perimeter to the length of a rectangle is $3:1$. If the perimeter of the rectangle is 108 cm, then find the ratio of the breadth of the rectangle to the perimeter of the rectangle.

Correct answer: 1:6

Solution

Given $P:L=3:1$, so $L=P/3=108/3=36$ cm. Using $P=2(l+b)$, we get $108=2(36+b)$, hence $36+b=54$ and $b=18$ cm. Therefore, the ratio of breadth to perimeter is $18:108=1:6$.

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