How many rectangles can you find in this shape? Which ones are
differently sized and which are 'similar'?
Age 7 to 11 Challenge Level:
Ahmed wants to build an outdoor run for his rabbit.
He has decided that it will go against one wall of the shed.
Ahmed has some wooden planks to use for the other sides of the rabbit run. Some are 4m long, some 5m and some 6m.
If he uses three planks, he will be able to make the rabbit run in the shape of a quadrilateral.
What quadrilaterals would he be able to make if he uses three planks the same length?
What quadrilaterals would he be able to make if he uses two planks the same length and one a different length?
What quadrilaterals would he be able to make if he uses three planks which are all different lengths?
You may like to use the interactivity below to help try out your ideas. Click on the buttons to choose a particular length plank. You can move a plank by clicking near its centre and dragging it. You can rotate a plank by clicking and dragging on one of its ends.
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.