Question

The perimeter of a square in which A=169cm square root 2?

Answer 1

To find the perimeter of the square with an area expressed as 169cm²√2, calculate the side of the square by taking the square root of the area, and then multiply the side length by 4 to get the perimeter (52cm√2).

Step-by-step explanation:

The question involves finding the perimeter of a square given its area in the form A=169cm²√2. To solve this, we first identify the side length of the square by taking the square root of the area. Assuming the expression 169cm²√2 implies that the area is 169 square centimeters times the square root of 2, we calculate the square's side (a) as the square root of that quantity.

a=√(169cm²√2) = 13cm√2

We then use the formula P=4a to calculate the perimeter since the perimeter of a square is four times the length of one side.

P=4×13cm√2
=P=52cm√2

In conclusion, the perimeter of this specific square is 52cm√2 centimeters.

Answer 2

I'm guessing you mean:

`A = 169 √(2)`

If not, correct me.

So, then the perimeter of a square is just 4*A, which in this case would be:

`4(169 √(2)) = 676 √(2)`

And that would be your answer:
`676 √(2)` units²