Slanted Squares

Author:
Ben Sparks

Draw a square

Using the canvas below, draw a square (you can use the segment tool, or the 'square' tool).

Draw a square

What area is your square?

What area is your square?

Draw a slanted square

Construct another square, but this time make sure that it doesn't have horizontal or vertical sides. (A 'slanted square'?)

Draw a slanted square

Describe your slanted square

How would you describe your slanted square? What area is your slanted square? Explain how you know.

Square of area 10

Try to draw a square of area 10.

Square of area 10

Draw more squares!

On the canvas below try constructing as many different area squares as you can. (you can zoom in and out with a mouse wheel, and scroll around the canvas to find more space) What square areas can you make? What square areas can't you make? How could you calculate the area of a 'slanted square' quickly?

Draw more squares!

Constructed Areas

Type in any areas that you have made below:

Non-constructed Areas

Which areas can't be made?

How to calculate area quickly

Describe how you could calculate the area of any slanted square. You can use an example to explain if you want to.