"What is the area? You should be able to solve this"
08-07-2018, 07:16 PM (This post was last modified: 08-07-2018 07:22 PM by Robert VM.)
Post: #16
 Robert VM Junior Member Posts: 47 Joined: Jan 2016
RE: "What is the area? You should be able to solve this"
(08-06-2018 10:52 PM)Albert Chan Wrote:  I have seen the geometric solution ! (no, i did not peek)

Same solution as Albert in post #6

I started out by joining the midpoints of the original square hoping to simplify the problem: all triangles. Returning to the matter after an hour or so I noticed de sum of the heights of a pair of opposite triangles being the same as for the other pair.
ha + hc = hb + hx
Bases of the triangles being the same and the red surfaces also the same...
SX + SB = SA + SC
SX = SA + SC - SB = 28

Delightfully simple.
(Lucky day!)
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 Messages In This Thread "What is the area? You should be able to solve this" - Gerson W. Barbosa - 08-06-2018, 06:53 PM RE: "What is the area? You should be able to solve this" - Albert Chan - 08-06-2018, 09:12 PM RE: "What is the area? You should be able to solve this" - Albert Chan - 08-07-2018, 02:41 AM RE: "What is the area? You should be able to solve this" - Jim Horn - 08-06-2018, 09:14 PM RE: "What is the area? You should be able to solve this" - ijabbott - 08-06-2018, 09:16 PM RE: "What is the area? You should be able to solve this" - Albert Chan - 08-06-2018, 10:08 PM RE: "What is the area? You should be able to solve this" - Albert Chan - 08-06-2018, 10:52 PM RE: "What is the area? You should be able to solve this" - Robert VM - 08-07-2018 07:16 PM RE: "What is the area? You should be able to solve this" - Gerson W. Barbosa - 08-07-2018, 12:12 AM RE: "What is the area? You should be able to solve this" - Thomas Klemm - 08-07-2018, 12:41 AM RE: "What is the area? You should be able to solve this" - Albert Chan - 08-07-2018, 12:57 AM RE: "What is the area? You should be able to solve this" - Gerson W. Barbosa - 08-07-2018, 01:53 AM RE: "What is the area? You should be able to solve this" - Gerson W. Barbosa - 08-07-2018, 01:11 AM RE: "What is the area? You should be able to solve this" - Diego Diaz - 08-07-2018, 02:10 AM RE: "What is the area? You should be able to solve this" - Pekis - 08-07-2018, 08:59 AM RE: "What is the area? You should be able to solve this" - Albert Chan - 08-07-2018, 02:20 PM RE: "What is the area? You should be able to solve this" - Robert VM - 08-07-2018, 07:24 PM RE: "What is the area? You should be able to solve this" - tpugsley - 08-08-2018, 01:11 PM RE: "What is the area? You should be able to solve this" - Albert Chan - 08-08-2018, 01:51 PM RE: "What is the area? You should be able to solve this" - Voldemar - 08-08-2018, 04:44 PM RE: "What is the area? You should be able to solve this" - roadrunner - 08-08-2018, 05:03 PM

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