You want to lay tile in a room of your house. the room is 12 feet by 8 feet. what is the side measure of the largest square tile that you can use to cover the whole floor so there is no overlap or cutting?

If we want to use a square tile of side , we have to make sure that divides both 12 and 8.

The divisors of 8 are 1, 2, 4 and 8.

The divisors of 12 are 1, 2, 3, 4, 6 and 12.

So, the only common divisors are 1, 2 and 4.

Since we want the largest square tile, we choose the one with side 4.

4

Step-by-step explanation:

i just know it

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.