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The perimeter of a square is 4 * the length of a side, and the area is the length of a side squared. So, since you want the two things to be equal, you can set up an equation: 4s = s2.

In this case, we can assume that s is positive and non-zero, since we're looking for the length of something that exists, so in this instance, we can divide both sides by our variable s. (You can't always make this assumption in algebra.) Doing so, we get s = 4. So a square that has sides of length 4 has an equal perimeter and area.

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Q: How can the perimeter and area be the same?
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Related questions

If same area in a rectangle does that mean same perimeter?

No. For example, a 4x1 rectangle will have an area of 4 and a perimeter of 10. A 2x2 rectangle will have the same area of 4, but a perimeter of 8.


If two squares have the same area what do you know about the perimeter?

Then they both will have the same perimeter


How can the perimeter stay the same and the area change?

4x4 square: perimeter - 16 area - 16 6x2 rectangle perimeter - 16 area - 12


What is the same of perimeter area and volume?

the perimeter of the value is that the area and volume are perpendicular to each other


Does a square with dimensions of 4000 by 4000 have the same area and perimeter?

no the area is 16,000,000 the perimeter is 16,000


Is there a circle with the same perimeter as area?

no


Is there a shape with the same perimeter and area?

There is a square that has a length of 4. Area: 4 x 4: 16 Perimeter: 4+4+4+4= 16 Yes, there is a shape with the same perimeter and area.


Is perimeter and area the same?

No , perimeter is the measurement outside of the shape; the border. Area is the measurement of inside of the shape.


Can a shape have the same area but not perimeter?

Most shapes have different perimeter than area, as far as value.


Shapes with the same area do they have the same perimeter?

No.Rectangle 5 x 10. Area = 50. Perimeter = 30.Rectangle 2 x 25. Area = 50. Perimeter = 54.


How do you convert perimeter into square meters?

There is no standard relationship between perimeter and area. For example, you can have two rectangles that have the same perimeter, but different area.


Do all rectangles with the same perimeter have the same area?

No. Here are four rectangles with the same perimeter:1 by 6 . . . . . perimeter = 14, area = 62 by 5 . . . . . perimeter = 14, area = 103 by 4 . . . . . perimeter = 14, area = 1231/2 by 31/2 . . perimeter = 14, area = 121/4With all the same perimeter . . . -- The nearer it is to being square, the more area it has.-- The longer and skinnier it is, the less area it has. If somebody gives you some wire fence and tells you to put it uparound the most possible area, your first choice is to put it up ina circle, and your second choice is to put it up in a square. Rectanglesare out, if you can avoid them.