Based on the size of the perimeter of the rectangle, the fact that x is greater than y, the ratio of y to x is B. 1 : 3.
y should be such that it is 8 times smaller than the perimeter as it is the shorter side.
You can find the value of y by testing the given options.
If the ratio is 1 : 2, then the perimeter would be:
= 1 + 1 + 2 + 2
= 6
6 is not 8 times more than the y which is 1 in this case.
If the ratio is 1 : 3 then the perimeter is:
= 1 + 1 + 3 + 3
= 8
8 is eight times greater than the value of y which is 1 in this case.
This means that indeed the ratio of y to x is:
1 : 3
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