WHAT IS THE LARGEST PERIMETER THAT CAN BE CREATED FOR AN ARRAY CREATED FROM 24 ONE INCH TILES.
Try laying them in a line...
no
Laying the tiles in a line gives you a perimeter of 50 inches.
24 + 24 + 1 + 1
Can you arrange the tiles in any other way to give you a larger perimeter?
12 + 12 + 12 + 12 + 1 + 1
Print this graph paper and draw your 24 tiles on it.
http://incompetech.com/graphpaper/custom/centimeter-black.pdf
Remember that each tile measures 1 inch on each side.
The perimeter is the distance around the figure.
http://www.coolmath.com/reference/rectangles.html
To find the largest perimeter that can be created from an array of 24 one-inch tiles, you need to determine the dimensions of the largest possible rectangle that can be formed using the given number of tiles.
Since the rectangle's perimeter is the sum of all four sides, maximizing the perimeter means maximizing the sum of the lengths of adjacent sides.
To find the largest possible rectangle, you need to consider the factors of 24. Factors are the numbers that divide evenly into another number. The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.
For each pair of factors, calculate the sum of the lengths of the adjacent sides by adding the factors together. Sort these sum values in descending order to find the largest perimeter.
Let's calculate the perimeter using each pair of factors:
1) For the factor pair (1, 24): Perimeter = 1 + 1 + 24 + 24 = 50
2) For the factor pair (2, 12): Perimeter = 2 + 2 + 12 + 12 = 28
3) For the factor pair (3, 8): Perimeter = 3 + 3 + 8 + 8 = 22
4) For the factor pair (4, 6): Perimeter = 4 + 4 + 6 + 6 = 20
By sorting these perimeters in descending order, the largest perimeter that can be created from 24 one-inch tiles is 50.
Therefore, the largest possible perimeter is 50 inches.