an ant walks around the perimeter of another rectangular sheet of paper. the dimensions of this sheet of paper are given in decimal numbers expressed to the hundredth place, with tenths and hundredths digits being non-zero. if the ant travels between 18 and 19 centimeters, what are the detentions of the sheet of paper? give one possibility.

1 answer

Let's assume that the length of the rectangular sheet of paper is 18 cm and the width is 1 cm.

If the ant walks around the perimeter of the paper, it will have to travel a distance of 2*(length + width).

In this case, the ant would have to travel 2*(18+1) = 40 cm, which is not within the range of 18-19 cm.

Let's try a different combination.

Assume the length of the rectangular sheet of paper is 18.5 cm and the width is 0.5 cm.

The ant would have to travel 2*(18.5+0.5) = 38 cm, which is still not within the range of 18-19 cm.

Let's try one more combination.

Assume the length of the rectangular sheet of paper is 18.45 cm and the width is 0.55 cm.

The ant would have to travel 2*(18.45+0.55) = 39 cm, which is within the range of 18-19 cm.

Therefore, one possibility for the dimensions of the sheet of paper is 18.45 cm (length) by 0.55 cm (width).