Answer:
Smallest perimeter setup is (6 by 6 rectangle)
Step-by-step explanation:
Given:
Total number of tile = 36
Find:
Smallest perimeter setup
Computation:
Perimeter = 2(a + b)
So,
Perimeter if (4 by 9 rectangle
)
Perimeter if (4 by 9 rectangle
) = 2[4+9]
Perimeter if (4 by 9 rectangle
) = 2[13]
Perimeter if (4 by 9 rectangle
) = 26
Perimeter if (3 by 12 rectangle
)
Perimeter if (3 by 12 rectangle
) = 2[3+12]
Perimeter if (3 by 12 rectangle
) = 2[15]
Perimeter if (3 by 12 rectangle
) = 30
Perimeter if (1 by 36 rectangle
)
Perimeter if (1 by 36 rectangle
) = 2[1+36]
Perimeter if (1 by 36 rectangle
) = 2[37]
Perimeter if (1 by 36 rectangle
) = 74
Perimeter if (6 by 6 rectangle
)
Perimeter if (6 by 6 rectangle
) = 2[6+6]
Perimeter if (6 by 6 rectangle
) = 2[12]
Perimeter if (6 by 6 rectangle
) = 24
So,
Smallest perimeter setup is (6 by 6 rectangle)
