Mr. henderson wants to tile his pai patio that is a rectangular in shape. his patio measure 108 inches by 144 inches. find the fewest square tiles he can use without cutting any of them. explain your reasoning.

12 squares.

Step-by-step explanation:

We have two lenghts, 108in and 144in, and we want to divide it in squares (remember that the squares have the same lenght in both sides)

So we need to find a common factor between 108 and 144, and if we want to find the minimum number of squares used, we need to find the bigger common factor betwen those two numbers (if we use bugher lengths for the square sides, we will use less squares) To find it we chose the smaller number and we divide it by 2

108/2 = 54

This number divides the other?

144/54 = 2.66 is not a integer number, so 54 is not a common factor.

now we try with 108/3 = 36

and we try:

144/36 = 4

So 36 is a common factor

And we have:

144/36 = 4

108/36 = 3

so the total number of squares is 4*3 = 12

3 ft

step-by-step explanation:

since the triangle is right use pythagoras' identity to solve for a

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

a² + 8² = ( )²

a² + 64 = 73 ( subtract 64 from both sides )

a² = 9 ( take the square root of both sides )

a = = 3

50

step-by-step explanation: