Find the ratio of the outer shaded area to the inner area for a six
pointed star and an eight pointed star.
Rhombus in Rectangle
Stage: 4 Challenge Level:
Call the base of the rectangle $b$ and the height $h$. If the
distance from A to P is $x$, can you write an equation linking $b$,
$h$ and $x$ in order to make $AP=PQ$? How many possible values can
x take in your equation?
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.