Reeling under the lack of power, water supply and all that the devastating cyclone Amphan left behind, apparently my nephews hunkered down and started doing puzzles. They could not wait for power to come back – so that they could recharge their phones and send me this problem thru Whatsapp.
Good problem. About 2 years back, I had posted a similar version of the problem.
This week is another area problem. Take a rectangle ABCD (as shown here). Draw two lines from the adjacent vertices A and D to two random points E and F on the opposite side such that they intersect within the rectangle. See picture below. Nothing is drawn to scale. The area of the two triangles are 4 and 16. One of the quadrilaterals has an area of 10. What is the area of the other quadrilateral?
Again, this is geometry from elementary school with a twist to it.
Note that the original version of the problem that I had posted had the quadrilateral area as 1 instead of 10. Harmindar Matharu successfully proved that such a diagram is not possible. I should have been more careful while picking some values for those areas…
I am not sure of the origin of the name. One can safely guess the Kentucky connection of Bourbon whiskey has to do at least something with it. I remember flying into Lexington, KY for work in my previous life and the airport was called Blue Glass airport!
Bourbon, lemon juice, maraschino liqueur and pineapple juice it is!!!
Woke up after the party last night a little tired. In fact, I was wondering whether to go out for a ride at all. I am glad I decided to soldier it on. “PoshGoonda” Rakesh Rao had planned a great route to a great destination. We landed up having lunch sitting by the river watching folks canoe and raft by on the Big Creek in a very small town in the Blue Ridge Mountains called Aska.
Avi was the steady sweep behind all the time to make sure nobody was left behind. Which in this case, means really me – since it was three of us who hit the mountain trails today.
I am most glad that I was able to do all those left and right turns in the mountains without making a single mistake.
All that said, the butts are really really sore 🙁
They find water and ice in Mars and the first thing that crosses their mind is “Let’s grow salad?”. Did they ever think of much better things that go with water and ice – say, scotch, for example?
🙂
