Area - squares and rectangles

There are 91 NRICH Mathematical resources connected to Area - squares and rectangles
Tilted Squares
problem
Favourite

Tilted squares

Age
11 to 14
Challenge level
filled star empty star empty star

It's easy to work out the areas of most squares that we meet, but what if they were tilted?

Growing Rectangles
problem
Favourite

Growing rectangles

Age
11 to 14
Challenge level
filled star empty star empty star
What happens to the area and volume of 2D and 3D shapes when you enlarge them?
11x11 square
problem

11x11 square

Age
11 to 16
Challenge level
filled star filled star empty star
Here's a neat trick you can do with an 11 by 11 square...
Cover the tray
problem

Cover the tray

Age
7 to 11
Challenge level
filled star filled star filled star
These practical challenges are all about making a 'tray' and covering it with paper.
Fencing
problem

Fencing

Age
7 to 11
Challenge level
filled star empty star empty star
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Tiles in the Garden
problem

Tiles in the garden

Age
7 to 11
Challenge level
filled star empty star empty star
How many tiles do we need to tile these patios?
Cylinder Cutting
problem

Cylinder cutting

Age
7 to 11
Challenge level
filled star filled star filled star
An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.
Diagonal Touch
problem

Diagonal touch

Age
14 to 16
Challenge level
filled star filled star empty star
Weekly Problem 21 - 2012
Two rectangles are drawn in a rectangle. What fraction of the rectangle is shaded?