Answer:
7
Step-by-step explanation:
The number of cells in a tile is 4. If colored alternately, there are 3 of one color and 1 of the alternate color. To balance the coloring, an even number of tiles is needed. Hence the board dimensions must be multiples of 4.
In the given range, there are 7 such boards:
4×4, 8×8, 12×12, 16×16, 20×20, 24×24, and 28×28
They are both drawn as right angled triangles so if we can constract them then they should obey pythagoras theorem
First traingle:- 8^2 = 64
7^2 + 6^2 = 49 + 36 = 85 so this does not obey the theorem and you cant draw it.
Second traingle: 9^2 = 81 and 5^2 + 7^2 = 25 + 49 = 75 so we cant draw that one either.
The line in the middle is half the length of the line on the outside. Multiply the middle line by 2 and set it equal to the outside line.
2(x-3) = x + 6
Simplify:
2x -6 p x + 6
Add 6 to both sides
2x = x + 12
Subtract x from both sides:
X = 12
The answer is B) 12
