Final answer:
To calculate the length of the ant on the scale drawing when the actual ant is 55 millimeters long using a scale of 1 centimeter to 1.5 millimeters, you first convert all the measurements to the same units and then use proportions to find that the length on the drawing should be 36.67 centimeters.
Step-by-step explanation:
The question involves creating a scale drawing of an ant using the given scale of 1 centimeter to 1.5 millimeters. To find the length of the ant on the drawing when the actual ant is 55 millimeters long, we need to use the given scale factor to create a proportion and then solve for the unknown length in the scale drawing.
The first step is to convert the scale into the same units. Since 1.5 millimeters can be written as 0.15 centimeters (because there are 10 millimeters in 1 centimeter), the scale can be represented as 1 cm in the drawing equals 0.15 cm actual size. Next, we set up a proportion comparing the scale length to the actual length:
scale length / actual length = 1 cm (scale) / 0.15 cm (actual)
Now, we know the actual length of the ant is 55 millimeters, which is 5.5 centimeters (since 55 mm = 5.5 cm). We can rearrange the proportion to solve for the scale length:
scale length / 5.5 cm = 1 cm / 0.15 cm
By cross multiplying and solving for the scale length, we have:
scale length = 5.5 cm * (1 cm / 0.15 cm) = 36.67 cm
Therefore, the length of the ant on the scale drawing should be 36.67 centimeters.