Final answer:
To find the scale of the drawing, we need to convert the actual pool's width to millimeters and then divide the width of the pool in the drawing by the actual width in millimeters. The scale is 1:5000.
Step-by-step explanation:
The student's question is asking what the scale of a drawing is when the drawing shows a pool that is 4 millimeters wide, but the actual pool is 20 meters wide.
To find the scale factor, we compare the drawing's width to the actual width.
First, we need to convert the actual pool width to millimeters because the drawing's width is given in millimeters.
As 1 meter is equivalent to 1000 millimeters, the pool's actual width is 20 meters x 1000 millimeters/meter = 20000 millimeters.
Now, we can determine the scale factor by dividing the drawing width by the actual width:
Scale Factor = Drawing Width / Actual Width = 4 mm / 20000 mm = 1 / 5000
So, the scale of the drawing to the actual pool is 1:5000.