answersLogoWhite

0


Best Answer

Let the area be x2 and the perimeter be 4x:

x2 = 4x

x2-4x = 0

x(x-4) = 0

x = 0 or x = 4

So: 42 = 4*4 which is the same as 16 = 16

But remember that the area is in square units while the perimeter is in linear units.

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Would you show that the area of a square can equal its perimeter?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

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.


What would be the area and perimeter of a square whose length is 6 feet?

The area of the square would be 36 square feet and the perimeter is basically four times the side, because a square has equal sides so the perimeter would be 24 feet. \


What is the perimeter of a square with an area of 256?

If the area of the square is equal to 256 centimetres squared, then each side of the square would be sqrt(256) = 16.Therefore, given that a square has four sides of equal length, the perimeter of the square would be 16 x 4 = 64 centimetres.


What is the area and perimeter of a square if the side equal 10cm?

Perimeter = 40cm. Area = 100cm2


How can the area of a square be 1 and the perimeter be 4?

The area of a square is equal to s2, where the side length is 1. We know the area is 1, so s2 = 1, and therefore s equals 1.We can now check the perimeter. The perimeter equals 4s. Plug in s = 1, and the perimeter is 4. So the square would have side lengths of 1.(Had the area an perimeter not matched up, the square would not have been possible.)


What is the perimeter of a square that has an area of 81 meters square?

36, area is equal to length X width, perimeter is equal to 2(length)+2(width) in a square length is equal to width, so we take the square root of the area to find that both are 9, which means the perimeter is 9 X 4, 36.


What is the answer if the perimeter of a square whose area is 25cm?

Then the square will have 4 equal sides of 5cm with a perimeter of 20cm and an area of 25 square cm


Find the area of the square whose perimeter is 60 cm?

If the perimeter of the square is 60 centimetres, each side is equal to 15 centimetres. Therefore, the area of the square would be 15 x 15 = 225 cm2.


How do you maximize the area given the perimeter?

In the case of a rectangle, you would maximize the area given the perimeter by making the dimensions equal. In other words, you would make the rectangle into a square. However, to truly maximize the area, you would make the perimeter a perfect circle.


What is the area of a square with a perimeter of 28?

Squares have 4 equal sides. So lets set x equal to one of the sides of the square. x = one side of the square The perimeter of a square is the distance around the outside. This is equal to the sum of the lengths of the sides. Because a square has 4 sides the perimeter is as follows 4x = perimeter Solving for x in this case gives you 7. The area of any rectangle is equal to the base * height. In a square this means side * side or side2. area = x2 Solving for the area in the case given we find that the area of a square with a perimeter of 28 is equal to 49 units2


If the area of a square room is 169cmsquare calculate its perimeter?

The sides of square are equal,and when they have given you the area and asked for perimeter,it means that you have to look for the square root of the area which will be one side and that is 13.perimeter=side ×4 which is 13×4=52.


What s the perimeter of an equilateral triangle whose area in square cm is equal to the square root of 3?

The perimeter is 6 cm.