Perimeter, Area and Volume

We usually use squares to measure area, but what if we use triangles instead?

Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?

Draw some isosceles triangles with an area of $9cm^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?

Can you find rectangles where the value of the area is the same as the value of the perimeter?

I'm thinking of a rectangle with an area of 24. What could its perimeter be?

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

What are the possible areas of triangles drawn in a square?

Can you deduce the perimeters of the shapes from the information given?

A colourful cube is made from little red and yellow cubes. But can you work out how many of each?