Or search by topic
$M$ is the midpoint of the side of the rectangle. What is the area (in square units) of the triangle $PMR$?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
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.
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
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?