Or search by topic
The dots are one unit apart. What is the area of the region common to both the triangle and the square (in square units)?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
Which has the greatest area, a circle or a square, inscribed in an isosceles right angle triangle?
Cut off three right angled isosceles triangles to produce a pentagon. With two lines, cut the pentagon into three parts which can be rearranged into another square.
A square of area 40 square cms is inscribed in a semicircle. Find the area of the square that could be inscribed in a circle of the same radius.