You may also like

problem icon

Rati-o

Points P, Q, R and S each divide the sides AB, BC, CD and DA respectively in the ratio of 2 : 1. Join the points. What is the area of the parallelogram PQRS in relation to the original rectangle?

problem icon

Triangles' Triangle

Weekly Problem 27 - 2009
The perimeter of a large triangle is 24 cm. What is the total length of the black lines used to draw the figure?

Square in a Triangle

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2

$\frac{4x}{9}$

The diagram shows that triangle $XYZ$ may be divided into 9 congruent triangles. The square $PQRS$ is made up of 4 of these 9 triangles.


Subdivided right-angled triangle circumscribing square

This problem is taken from the UKMT Mathematical Challenges.

View the previous week's solution
View the current weekly problem