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A square is a four sided shape with equal sides and angles. The area is the length multiplied by the width, which is also the length squared or the width squared. Therefore: 4 x square-root(area) = perimeter. This formula only works for a square.

This proof explains the above formula:

s = side length, and a = area

# s2 = a # s = sqrt(a) # 4s = 4[sqrt(a)] Step 1 is the basic formula for finding the area of a square.

Step 2 takes the square root of both sides to give you the length of one side.

Step 3 multiplies both sides by 4, because a square has 4 sides that need to be added to find the perimeter.

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The area of a square is 22500 ft squared - what is the perimeter?

To find the perimeter of a square, you need to know the length of one side. Since the area of the square is given as 22500 ft², you can find the length of one side by taking the square root of the area. The square root of 22500 is 150, so each side of the square is 150 ft. The perimeter of a square is calculated by multiplying the length of one side by 4, so the perimeter of this square would be 600 ft.


How do you find the perimeter of a square when only the area is given?

Since you know that a square has four congruent sides, you know that the area is s2. If you want to find the length of one side, take the square root of both sides, so you're left with s= the square root of the area. A square has 4 sides, so to find the perimeter (4s = P), multiply both sides by 4. So you end up with this: P= 4A1/2 where P is the perimeter, A is the area, and the 1/2 means the square root. In simple terms, take the square root and multiply by four.


What is the perimeter of the garden if the area is 12.25 square meters?

Ah, what a lovely garden you have! To find the perimeter, we need to know the dimensions of the garden. If it's a square garden, we can find the side length by taking the square root of the area. Then, we can multiply the side length by 4 to get the perimeter. Happy painting those beautiful flowers and trees in your garden!


What is the area of a perimeter with 6 inch sides?

To find the area of a shape with 6-inch sides, we first need to determine the type of shape. Assuming it is a square, the formula for the area of a square is side length squared. Therefore, the area would be 6 inches squared, which equals 36 square inches.


What is the perimeter of a square that has an area of 49 cm squared?

Well, well, well, aren't we dealing with a smarty pants here! If the area of the square is 49 cm squared, then each side of the square measures 7 cm (since 7 x 7 = 49). The perimeter of a square is just the sum of all its sides, so in this case, the perimeter would be 4 x 7 = 28 cm. Voila!

Related Questions

If you know a perimeter of a square but not the length or width how do you find the area?

Divide the perimeter by 4 and then square the result to find the area of the square.


How can you find the perimeter of a square if you know the area?

You square-root the area


Can you find the perimeter if you know area of a square?

For a square yes. If square root the area, you will get the length of a side. Times this by 4 to get the perimeter. E.g. Area=64cm2 64(square rooted)=8cm 8 X 4=32cm Perimeter=32cm


Is area always more or equal to the perimeter in a square?

The area of a square is equal to twice the square's perimeter.


How can you find the area of a square if you know the perimeter?

multiply the widht time s the length


How do you find the area of a yard using the perimeter in square feet?

You can't only using the perimeter. You have to know length and width.


How do you find the perimeter when you know the area?

There is no possible way to. You can only add up all the sides to get the perimeter.---It is not impossible. You can get the perimeter from area very easily.First, you find the square root of the area, which will be the length of each side (assuming it is a square).Then, once you've found the length of each side, you multiply it by 4, and you should have the perimeter. (:


The area of a square is 22500 ft squared - what is the perimeter?

To find the perimeter of a square, you need to know the length of one side. Since the area of the square is given as 22500 ft², you can find the length of one side by taking the square root of the area. The square root of 22500 is 150, so each side of the square is 150 ft. The perimeter of a square is calculated by multiplying the length of one side by 4, so the perimeter of this square would be 600 ft.


How can you find the length of a side of a square if you know the perimeter?

If a square has sides of length x, it's perimeter must be 4x. Therefore the length of one of those sides is the perimeter divided by 4. Square this number (multiply it by itself) to get the area of the square.


The perimeter of a square is 152 what is the area of the square?

To find the area of a square, we need to know the length of one side. Since the perimeter of a square is the sum of all four sides, we can divide the perimeter by 4 to find the length of one side. In this case, 152 divided by 4 is 38, so each side of the square is 38 units long. To find the area of the square, we square the length of one side, so the area of the square is 38 squared, which equals 1444 square units.


How do you find the perimeter using area?

Depending on the figure given you can find the area from the perimeter For example- If you have a square with a perimeter of 24, you divide 24 by 4 because all the sides of a square are congruent. In turn you will 6 as each side of the square The formula for the area of a square is side2 so you get 62 which is 36. The area is 36


How do you know the perimeter of a square and you want to determine its area Explain how you can calculate the area?

For a square, the area is always 1/4 of the perimeter squared. Or one side squared.