Asquare has side length of 8 in. if the area is multiplied by 36, what happens to the side length?

the side length is multiplied by 36.
the side length is multiplied by 18.
the side length is multiplied by 1/6.
the side length is multiplied by 6.

The side length is multiplied by 6.

Step-by-step explanation:

The area of a square is A = s². Suppose the side is 8 inches. This means the area is A = 8² = 64.

If you were to multiply by 36, then it becomes 64*36 = 2,304. Since squaring gave the area, it's side length would be found using the reverse operation a square root. Take the square root of 2,304.

√2304 = 48

The side length changed from 8 to 48 which is a scale factor of 6. This means 8 * 6 = 48.