Carl is trying to find solutions to a geometric puzzle. He has a square plot of land that he needs to reserve 1/4 for himself and divide the remaining 3/4 equally and in similar shape, among his 4 children. There are two possible solutions. Can you solve the puzzle?
Answer: Solution #1 - Squares First, Carl divides his as to reserve to himself one-fourth in the form of a square. Then, Carl takes the remaining 3/4 shape and scales it down by 1/4. He then, multiplies the shape into 4 identically shaped pieces, and aranges them so that they fit into the original 3/4 shape. Solution #2 - Rectangles First, create a triangle that is 1/4 the size of the square. Now, with straight lines, create two squares. Proceed to disect the two squares with horizontal lines creating 4 triangles. Then, disect one of the resultuing triangles from each square. The shape of land for each of his four children is divided evenly and is the same shape.
Solution:
Show Answer
Solution #1 – Squares
First, Carl divides his as to reserve to himself one-fourth in the form of a square.
Then, Carl takes the remaining 3/4 shape and scales it down by 1/4. He then, multiplies the shape into 4 identically shaped pieces, and aranges them so that they fit into the original 3/4 shape.
Solution #2 – Rectangles
First, create a triangle that is 1/4 the size of the square.
Now, with straight lines, create two squares.
Proceed to disect the two squares with horizontal lines creating 4 triangles.
Then, disect one of the resultuing triangles from each square. The shape of land for each of his four children is divided evenly and is the same shape.
Show Answer
First, Carl divides his as to reserve to himself one-fourth in the form of a square.
Then, Carl takes the remaining 3/4 shape and scales it down by 1/4. He then, multiplies the shape into 4 identically shaped pieces, and aranges them so that they fit into the original 3/4 shape.
Solution #2 – Rectangles
First, create a triangle that is 1/4 the size of the square.
Now, with straight lines, create two squares.
Proceed to disect the two squares with horizontal lines creating 4 triangles.
Then, disect one of the resultuing triangles from each square. The shape of land for each of his four children is divided evenly and is the same shape.
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If 1+4=5, 2+5=12, and 3+6=21, what is 8+11? Viral math Puzzle answer
Answer: 8+11=96
Solution:
Correct Answer: 8+11=96
Solution: 1
If you look at first 3 Equations a + b means a + ab
a+b => a+ab
Let see now how it works for all equations ,
1 + 4 means 1 + 1(4) = 5
2 + 5 means 2 + 2(5) = 12
3 + 6 means 3 + 3(6) = 21
now will apply same formula for the last equation 8+11=?
8 + 11 means 8 + 8(11) = 96
So final answer is 96 is proved.
Solution : 2
1 + 4 = 5
5 + 2 + 5 = 12
12 + 3 + 6 = 21
21 + 4 + 7 = 32
32 + 5 + 8 = 45
45 + 6 + 9 = 60
60 + 7 + 10 = 77
77 + 8 + 11 = 96
Once again we get the answer of 96, that’s surprising!
Didn’t get 96? Check out the second way to solve the problem.
Alternate method :
a+b= a+b(sum of the previous equation)
1 + 4 = 5.
2 + 5 (plus the previous sum of 5) = 12.
3 + 9 (plus the previous sum of 12) = 21.
same logic will apply for last equation also
8 + 11 (plus the previous sum of 21) = 40.
Correct Answer: 8+11=96
Solution: 1
If you look at first 3 Equations a + b means a + ab
a+b => a+ab
Let see now how it works for all equations ,
1 + 4 means 1 + 1(4) = 5
2 + 5 means 2 + 2(5) = 12
3 + 6 means 3 + 3(6) = 21
now will apply same formula for the last equation 8+11=?
8 + 11 means 8 + 8(11) = 96
So final answer is 96 is proved.
Solution : 2
1 + 4 = 5
5 + 2 + 5 = 12
12 + 3 + 6 = 21
21 + 4 + 7 = 32
32 + 5 + 8 = 45
45 + 6 + 9 = 60
60 + 7 + 10 = 77
77 + 8 + 11 = 96
Once again we get the answer of 96, that’s surprising!
Didn’t get 96? Check out the second way to solve the problem.
Alternate method :
a+b= a+b(sum of the previous equation)
1 + 4 = 5.
2 + 5 (plus the previous sum of 5) = 12.
3 + 9 (plus the previous sum of 12) = 21.
same logic will apply for last equation also
8 + 11 (plus the previous sum of 21) = 40.
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