Enigma 1184: Church-draughtsmanship
18 January 2016
Posted by on
From New Scientist #2340, 27th April 2002 [link]
My young nephew recently asked me to draw him a church. He gave me a sheet of A4 paper, and I began by drawing a square. I next added an isosceles triangle, using the whole of the top of the square as its base. To the whole of one side of the square I then added a rectangular nave. Of the three shapes, the rectangle occupied the largest area. The four different constituent dimensions were each a whole number of centimetres, these dimensions being the sides of each shape and the vertical height of the triangle. The areas of the three shapes added together produced a total which was perfectly divisible by each of the four dimensions.
What were the overall length and overall height of my church?