Asked by Christopher
Hi there! I really need help with these three questions.
1) Each rectangle in the diagram measures 3 cm by 6 cm. What is the length, in centimetres, of the longest path from A to B? You may travel in any direction, but no segment may be traced more than once.
2) How many squares in a 2x3 plane have two or more vertices on dots in a grid? All dots are an equal distance from their nearest neighbors.
3) A test had 12 problems, and each problem is with five marks. Full marks are given for a correct answer, two marks given if there is no answer, and no marks are given for an incorrect answer. Some scores between 1 and 60 or impossible to get on this test. What is the sum of these impossible to get scores?
Thank you!
1) Each rectangle in the diagram measures 3 cm by 6 cm. What is the length, in centimetres, of the longest path from A to B? You may travel in any direction, but no segment may be traced more than once.
2) How many squares in a 2x3 plane have two or more vertices on dots in a grid? All dots are an equal distance from their nearest neighbors.
3) A test had 12 problems, and each problem is with five marks. Full marks are given for a correct answer, two marks given if there is no answer, and no marks are given for an incorrect answer. Some scores between 1 and 60 or impossible to get on this test. What is the sum of these impossible to get scores?
Thank you!
Answers
Answered by
Damon
I can not see your picture so have no idea.
Answered by
Christopher
Hi Damon, I am not sure how to upload a picture of it. Can you help me with question 2 and 3? Thanks!
Answered by
zoe
Haha I see a fellow som student, bro these challenges are hell, mine is 2 weeks late so I could use some help for everyone asking i dont know how to post an image but the diagram is 18 by 18. it is essentially made up of four symmetrical quadrants, so I'm gunna describe 1 side.
The far left side of this side is 3 rectangles flipped vertically, the middle column is 2 rectangles lying horizontally on the top and bottom, then 4 rectangles all lying vertically in a mini rectangle that has dimensions of 12x6.
A simpler way of saying this is make a C out of rectangles that has a height of 18 cm and a perimeter of 64 cm and is comprised out of 5 total rectangles, then fill that shape in with 4 more rectangles.
Ok now clone this shape and invert it, if this is done correctly you should end up with like I said a square made of 4 symmetrical quadrants. Point a and b are located at opposite corners of the square.
Also Christoph if you have already found the solution please tell me :)
The far left side of this side is 3 rectangles flipped vertically, the middle column is 2 rectangles lying horizontally on the top and bottom, then 4 rectangles all lying vertically in a mini rectangle that has dimensions of 12x6.
A simpler way of saying this is make a C out of rectangles that has a height of 18 cm and a perimeter of 64 cm and is comprised out of 5 total rectangles, then fill that shape in with 4 more rectangles.
Ok now clone this shape and invert it, if this is done correctly you should end up with like I said a square made of 4 symmetrical quadrants. Point a and b are located at opposite corners of the square.
Also Christoph if you have already found the solution please tell me :)
Answered by
som?
sprit of math i see i am in the same situation welp good luck
Answered by
Som
Just write all the numbers down and cross out the ones you need to
Answered by
Som
This is for questions 3
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