Scale Factor and Area
Scale Factor 2
In the diagrams below, the blue shape is enlarged by scale factor 2 to produce the green shape.
How many grid squares does the blue shape cover? How many grid squares does the green shape cover?
On the applet below, drag the points on the blue shape to make an upper case E.
How many grid squares does your blue upper case E cover? How many grid squares does the green upper case E cover?
On the applet below, drag the points to make any 2D shape.
What is the area of your blue shape? What is the area of your green shape?
When a shape is enlarged by scale factor 2, what seems to be true about the area?
The green rectangle is enlarged by scale factor 2 to make the blue rectangle.
How many green rectangles cover the blue rectangle?
Drag the green rectangles to tile over the blue rectangle.
In the applet below, the green rectangle is enlarged by scale factor 3 to make the blue rectangle.
How many green rectangles does it take to tile the blue rectangle?
Drag the rectangles to tile the blue rectangle.
On the applet below, the green rectangle is enlarged by scale factor 5 to produce the blue rectangle.
How many green rectangles are required to tile the blue rectangle? How do you know?
On the applet below, move the six points to form any six sided shape. Change the scale factor.
Notice the relationship between the scale factor and the perimeter of the two shapes.
Notice the relationship between the scale factor and the area of the two shapes.
Please write in your own words the relationship between: (a) the perimeter of the original shape, the scale factor and the perimeter of the enlarged shape. (b) the area of the original shape, the scale factor, and the area of the enlarged shape.