A scale drawing of the floor of a theater has a scale factor of 18. Mark says that he can use this information and any length on the scale drawing to find the corresponding length in the actual theater. He says that he can also use this information and any length in the actual theater to find the corresponding length on the scale drawing? Is he correct? I don't understand the problem. Please help me.
Thank you!
of course he is right.
The actual room is 18 times as big as the drawing.
So, any length on the drawing, times 18, is the length in the room.
Any length in the room, divided by 18, is the length in the drawing.
That's the whole purpose of scale drawings - to represent the actual large object in a manageable size.
Maybe you should just ask Mark yourself. Go up to him and say, "Mark, are you right? Come on, make up your mind!!!!"
your welcome. glad i could help :)
Yes, Mark is correct. The scale factor allows you to determine the relationship between lengths on the scale drawing and the actual theater.
If you have a length on the scale drawing, you can use the scale factor to find the corresponding length in the actual theater. Simply multiply the scale factor by the length on the scale drawing to get the length in the actual theater.
Conversely, if you have a length in the actual theater, you can use the scale factor to find the corresponding length on the scale drawing. Divide the length in the actual theater by the scale factor to get the length on the scale drawing.
In this case, since the scale factor is 18, any length on the scale drawing can be multiplied by 18 to find the corresponding length in the actual theater. Similarly, any length in the actual theater can be divided by 18 to find the corresponding length on the scale drawing.
Yes, Mark is correct. The scale factor allows you to find the corresponding length in either the scale drawing or the actual theater.
To understand the problem, let's break it down:
A scale drawing is a proportional representation of an object or a space. In this case, it is a scale drawing of the floor of a theater.
The scale factor is the ratio between the measurements on the scale drawing and the corresponding measurements in the actual theater. It tells you how much smaller or larger the scale drawing is compared to the real theater.
In this problem, the scale factor is given as 18, which means that every length in the scale drawing is 1/18th the length of the corresponding length in the actual theater.
Now, to answer your question regarding Mark's statement:
If you have a length on the scale drawing and you want to find the corresponding length in the actual theater, you can multiply the length on the drawing by the scale factor. For example, if a hallway on the scale drawing is 5 units long, the corresponding length in the actual theater would be 5 * 18 = 90 units.
Conversely, if you have a length in the actual theater and you want to find the corresponding length on the scale drawing, you can divide the length in the theater by the scale factor.
So, in summary, Mark is correct. You can use the scale factor to find the corresponding length in either the scale drawing or the actual theater by either multiplying or dividing, depending on which direction you are going.