Used Geogebra to construct the required polygons; then used the area tool. Big time cheating, I know, but final result was 0.7779… not too far away from 7/9.
Funny you mention that. While doing this problem my wife asked, "What if you're wrong? How do you know if you're right?"
Of course, I am wrong, often, even with simple math. At some level, arithmetic errors are like typing errors. They just happen. Beyond that, bigger errors are easy.
Her questions motivated me to do exactly what you did when I finished the problem. I had already made the shapes in Geogebra, so I just computed the areas and divided. I got the same thing you got. :D
I had never really used the software before. It was a dream compared to making everything with PowerPoint ... like I've done for the past two-plus decades.
Used Geogebra to construct the required polygons; then used the area tool. Big time cheating, I know, but final result was 0.7779… not too far away from 7/9.
Funny you mention that. While doing this problem my wife asked, "What if you're wrong? How do you know if you're right?"
Of course, I am wrong, often, even with simple math. At some level, arithmetic errors are like typing errors. They just happen. Beyond that, bigger errors are easy.
Her questions motivated me to do exactly what you did when I finished the problem. I had already made the shapes in Geogebra, so I just computed the areas and divided. I got the same thing you got. :D
I had never really used the software before. It was a dream compared to making everything with PowerPoint ... like I've done for the past two-plus decades.