Resources tagged with: Perimeter
There are 34 NRICH Mathematical resources connected to Perimeter, you may find related items under Measuring and calculating with units.
Broad Topics > Measuring and calculating with units > Perimeter
Always, Sometimes or Never? Shape
Are these statements always true, sometimes true or never true?
Perimeter Challenge
Can you deduce the perimeters of the shapes from the information given?
Shape Draw
Use the information on these cards to draw the shape that is being described.
Through the Window
My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?
Dicey Perimeter, Dicey Area
In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?
Perimeter Possibilities
I'm thinking of a rectangle with an area of 24. What could its perimeter be?
Changing Areas, Changing Perimeters
How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?
Perimeter Expressions
Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?
Area and Perimeter
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
Can They Be Equal?
Can you find rectangles where the value of the area is the same as the value of the perimeter?
Sizing Them Up
Can you put these shapes in order of size? Start with the smallest.
Warmsnug Double Glazing
How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
On the Edge
If you move the tiles around, can you make squares with different coloured edges?
Pick's Theorem
Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.
Shapes on the Playground
Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?
Numerically Equal
Can you draw a square in which the perimeter is numerically equal to the area?
Is There a Theorem?
Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?
Rod Area
This task challenges you to create symmetrical U shapes out of rods and find their areas.
Being Resilient - Primary Measures
Measure problems at primary level that may require resilience.
Being Resourceful - Primary Measures
Measure problems at primary level that require careful consideration.
Being Collaborative - Primary Measures
Measure problems for primary learners to work on with others.
Being Curious - Primary Measures
Measure problems for inquiring primary learners.
Cutting it Out
I cut this square into two different shapes. What can you say about the relationship between them?
Von Koch Curve
Make a poster using equilateral triangles with sides 27, 9, 3 and 1 units assembled as stage 3 of the Von Koch fractal. Investigate areas & lengths when you repeat a process infinitely often.
Squareflake
A finite area inside and infinite skin! You can paint the interior of this fractal with a small tin of paint but you could never get enough paint to paint the edge.
Smaller and Smaller
Can you predict, without drawing, what the perimeter of the next shape in this pattern will be if we continue drawing them in the same way?
Five Circuits, Seven Spins
A circular plate rolls inside a rectangular tray making five circuits and rotating about its centre seven times. Find the dimensions of the tray.
Coins on a Plate
Points A, B and C are the centres of three circles, each one of which touches the other two. Prove that the perimeter of the triangle ABC is equal to the diameter of the largest circle.
Contact
A circular plate rolls in contact with the sides of a rectangular tray. How much of its circumference comes into contact with the sides of the tray when it rolls around one circuit?
Coke Machine
The coke machine in college takes 50 pence pieces. It also takes a certain foreign coin of traditional design...
Some(?) of the Parts
A circle touches the lines OA, OB and AB where OA and OB are perpendicular. Show that the diameter of the circle is equal to the perimeter of the triangle
Lawn Border
If I use 12 green tiles to represent my lawn, how many different ways could I arrange them? How many border tiles would I need each time?
Fencing Lambs
A thoughtful shepherd used bales of straw to protect the area around his lambs. Explore how you can arrange the bales.
Polydron
This activity investigates how you might make squares and pentominoes from Polydron.