Respuesta :
Answer:
48 , 216
Step-by-step explanation:
Given:
Length of highway = 216
Breadth of highway = 48
To find:
What is the largest size square tile that can be used to tile the hallway ?
How many tiles will be needed ?
Solution:
To find largest size square tile we will find the highest common factor of
length of highway (216) and breadth of highway (48)
48 = 2, 3, 4, 6, 8,12,16, 24, 48
216 = 2, 3, 4, 6, 8, 9, 12, 18, 24, 48
Thus, highest common factor is 48 means the largest size square tile that can be used to tile the hallway is 48.
Now, we will find number of tiles will be needed.
first of all we will find area of rectangular hallway and then divide by the size of the largest tile.
[tex]Area \ of\ rectangle = length \times bredth\\[/tex]
[tex]= 216\times48 = 10368[/tex]
Number of tiles will be needed = [tex]\frac{10368}{48} = 216\ pieces[/tex]
Therefore, number of tiles will be needed is 216 pieces
