Four rectangles are arranged as in the figure, where at every circled point the corner of one rectangle coincides with the side of another. What is the height of the magenta rectangle?
Puzzle of the Week #517 - Friday April 18th
I’d intended to publish this a few weeks ago but somehow forgot.
Why is Friday April 18th special, and why is Wednesday September 23rd equally special?
Puzzle of the Week #516 - Two Pairs of Circles
In a particular right-angled triangle, two circles tangent to the long leg have a radius or 5, and two circles tangent to the short leg have a radius of 4.
What is the radius of the incircle?
Puzzle of the Week #515 - Three Circles in a Trapezoid
Three circles are positioned inside the trapezoid below, such that they are tangent to the straight lines (but not tangent to the other circles). Given the two lengths confirmed in the diagram, what is the overall height of the trapezoid?
Puzzle of the Week #514 - Two More Circles in Trapezoids
In this shape, two circles are inscribed in two right trapezoids. The acute angles of the trapezoids add to 90 degrees. What is the overall height of the shape?
Puzzle of the Week #513 - Two Circles in a Trapezoid
Given this construction below, where two circles are tangent to the straight lines in the diagram, if we are told that A+C = B+D what is the value of A/B?
There are two possible answers.
