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Framed
Seven small rectangular pictures have one inch wide frames. The frames are removed and the pictures are fitted together like a jigsaw to make a rectangle of length 12 inches. Find the dimensions of the pictures.
Tilted Squares
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
Four or Five
The diagram shows a large rectangle composed of 9 smaller rectangles. If each of these rectangles has integer sides, what could the area of the large rectangle be?
Age 11 to 14
Challenge Level
Perimeter Challenge printable sheet
In each of the following problems, work out the perimeter of one small rectangle: 
(a)
(b)
(c)
(d)
Can you find the perimeter of this shape?
You may wish to try Perimeter Possibilities next.
With thanks to Don Steward, whose ideas formed the basis of this problem.
NRICH is part of the family of activities in the Millennium Mathematics Project.