If 'S' is the relationship between actual and scale linear dimensions,
then 'S2' is the relationship between actual and scale areas.
Chat with our AI personalities
It is a strict linear relationship. Double the size, double the perimeter. The area, however, increases by the square of the scale factor.
To find the area of the actual playground, you need to square the scale factor of 3, which equals 9. Then, multiply the area of the scale model (6 square yards) by this squared scale factor to get the area of the actual playground. Therefore, the area of the actual playground is 6 square yards multiplied by 9, which equals 54 square yards.
In general, there is no relationship between area and perimeter.
Oh, dude, like, using a Representative Fraction scale makes it easier to understand the relationship between the map and the actual area it represents. It's basically a fraction that shows how much smaller the map is compared to the real world. So, yeah, it's helpful for, like, figuring out distances and sizes without needing a magnifying glass.
the lengthandthewidth multiply to get the area