If a square has an area of 11 square inches, how big is its perimeter?

Answer 1

One side is √11. The perimeter is four sides. So the perimeter is:

4√11 inches

Answer 2

The area of a square is given by the following formula:

A = s^2

We're given that A = 11; therefore

11 = s^2, and, if we take the square root of both sides, we get

s = +/- sqrt(11) {or "plus or minus" square root of 11}

We reject the negative result, -sqrt(11), because the side of a square can never be negative. Therefore,

s = sqrt(11).

How do you solve for the perimeter of a square? The answer to that is to add up all the sides. There are 4 sides, so

P = s + s + s + s, or put quite simply,
P = 4s.

Since s = sqrt(11), then
P = 4(sqrt(11)) = 4sqrt(11)

You can actually stop here and not approximate the value with a calculator unless the question specifically asks you to. It's always a good idea to leave your answer in its exact form, even if it leaves radicals (square roots) behind.

Answer 3

Every side of a square is the same, so the area of a square (if x is a side) is: x squared.

Therefore, you make the equasion: x squared = 11, resulting in x = square root 11.

Now that you know one side, multiply x by 4. You get 4 quare roots of 11.

Answer 4

If it's a square, all 4 sides must be the same, and each side must be sqrt(11):

A = s*s = s^2
11 = s^2
s = sqrt(11)

Therefore the perimeter is 4s = 4sqrt(11).

Answer 5

4*sqrt(11)

that is, 4 times the square root of 11 (not a whole number)

Answer 6

Because all sides of a square are equal, and to find the area, you'd multiply basexheight, so you find the sqare root of the area to find a side...

Answer 7

4rt11 inches
=4*3.32
=13.28 in

Answer 8

5.5x2+5.5x2= 33 inches in perimter!!!!!!