Can you work out the area of the inner square and give an
explanation of how you did it?
Stage: 3 Challenge Level:
You have a 12 by 9 foot carpet with an 8 by 1 foot hole exactly
in the middle. Cut the carpet into two pieces (no more and no less)
so that the two pieces can be sewn together to make a 10 by 10 foot
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.