Perimeter

There are 39 NRICH Mathematical resources connected to Perimeter
Perimeter Challenge
problem
Favourite

Perimeter challenge

Age
11 to 14
Challenge level
filled star empty star empty star
Can you deduce the perimeters of the shapes from the information given?
Shape Draw
problem
Favourite

Shape draw

Age
7 to 11
Challenge level
filled star empty star empty star

Use the information on these cards to draw the shape that is being described.

Through the Window
problem
Favourite

Through the window

Age
7 to 11
Challenge level
filled star filled star empty star

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
game
Favourite

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
problem
Favourite

Perimeter possibilities

Age
11 to 14
Challenge level
filled star empty star empty star
I'm thinking of a rectangle with an area of 24. What could its perimeter be?
Can they be equal?
problem
Favourite

Can they be equal?

Age
11 to 14
Challenge level
filled star empty star empty star
Can you find rectangles where the value of the area is the same as the value of the perimeter?
Changing areas, changing perimeters
problem
Favourite

Changing areas, changing perimeters

Age
11 to 14
Challenge level
filled star empty star empty star
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?
Is there a theorem?
problem
Favourite

Is there a theorem?

Age
11 to 14
Challenge level
filled star filled star empty star
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?
Area and perimeter
problem
Favourite

Area and perimeter

Age
7 to 11
Challenge level
filled star empty star empty star

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

Numerically Equal
problem
Favourite

Numerically equal

Age
7 to 11
Challenge level
filled star filled star empty star

Can you draw a square in which the perimeter is numerically equal to the area?