Area - triangles, quadrilaterals, compound shapes

There are 53 NRICH Mathematical resources connected to Area - triangles, quadrilaterals, compound shapes
Arrowhead
problem

Arrowhead

Age
14 to 16
Challenge level
filled star filled star empty star
The points P, Q, R and S are the midpoints of the edges of a non-convex quadrilateral.What do you notice about the quadrilateral PQRS and its area?
Same Height
problem

Same height

Age
14 to 16
Challenge level
filled star filled star filled star
A trapezium is divided into four triangles by its diagonals. Can you work out the area of the trapezium?
Another Triangle in a Triangle
problem

Another triangle in a triangle

Age
16 to 18
Challenge level
filled star filled star empty star
Can you work out the fraction of the original triangle that is covered by the green triangle?