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?

Perimeter Possibilities

Age 11 to 14 Challenge Level:
Imagine two islands with an area of $24$, one with dimensions $6$ by $4$ and the other $12$ by $2$.

Which island has more land by the sea shore?