Question 17

The ratio of the shorter side to the longer side is 2 to 3.

To determine the ratio of the shorter side to the longer side of the rectangular garden, we can use the given perimeter and area. The dimensions of the garden are calculated to be 6 m and 9 m, leading to a ratio of 2 to 3.

A) 2 to 3

This option is correct because, given the dimensions of the garden are 6 m and 9 m, the shorter side (6 m) and the longer side (9 m) create a ratio of 2:3 when simplified.

B) 3 to 5

This option is incorrect. A ratio of 3 to 5 would imply dimensions that do not correspond to the calculated sides of the garden. The actual dimensions of 6 m and 9 m do not simplify to this ratio.

C) 4 to 5

This option is incorrect. The ratio of 4 to 5 does not accurately reflect the relationship between the calculated dimensions of the garden. The sides do not correspond to this ratio based on the given perimeter and area.

D) 5 to 9

This option is incorrect. A ratio of 5 to 9 would suggest different dimensions than those found in the problem. The actual dimensions result in a ratio of 2 to 3, not 5 to 9.

Conclusion

The correct answer is definitively 2 to 3 because it accurately represents the ratio of the shorter side (6 m) to the longer side (9 m). All other options fail to match the dimensions derived from the given perimeter and area, confirming that they do not reflect the true relationship between the sides of the garden.