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Guide and features
Science, Technology, Engineering and Mathematics
Featured Early Years Foundation Stage; US Kindergarten
Featured UK Key Stage 1&2; US Grades 1-4
Featured UK Key Stage 3-5; US Grades 5-12
Featured UK Key Stage 1, US Grade 1 & 2
Featured UK Key Stage 2; US Grade 3 & 4
Featured UK Key Stages 3 & 4; US Grade 5-10
Featured UK Key Stage 4 & 5; US Grade 11 & 12
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If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
Watch the video below.
How many other possible perimeters can you find, for a rectangle with an area of $24cm^2$?
Now watch the video to see what Alison and Charlie did next.
Here are some questions you might like to consider:
What other odd number perimeters can you make, if the area is $24$cm$^2$?
What is the smallest perimeter you can make, if the area is $24$cm$^2$? What about the largest perimeter?
Which perimeters in between is it possible to make?
Is it possible to make a rectangle with a fractional perimeter but a whole number area?
Is it possible to make a rectangle with a whole number perimeter but a fractional area?
Take a look at
Can They Be Equal?
to explore rectangles where the area is numerically equal to the perimeter.
Meet the team
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.
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NRICH is part of the family of activities in the
Millennium Mathematics Project