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You want to know the dimension of a square if its perimeter and its area are numerically equal. If the side of the square is ' S ' ... Perimeter = 4 S Area = S2 Set Perimeter = Area: S2 = 4 S S2 - 4 S = 0 S ( S - 4 ) = 0 Two solutions: -- S = 0, -- S = 4 The solution (S = 0) is mathematically correct and completely useless. The real-world solution is: S = 4

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Q: What is the value of a such that the area and perimeter of the square are the same?
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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


The area of a rectangle is 100 inches the perimeter is 40 a second rectangle has the same area but a different perimeter. Is the second rectangle a square?

the area of a rectangleis 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same area but a different perimeter. Is the secind rectangle a square? Explain why or why not.


What shape has the same area but a different perimeter?

a square


What shape has the same perimeter and area?

A square 4 squares in the middle and 4 lines out so it has to be a square!!! actually a square does not have the same perimeter and area a 4x4 area square has 8 perimeter so no squares do not but i have made a shape that has 32 perimeter and 32 area so it is possible and we don't want to tell you what the shape is. i already gave you too much information with the 32.... << inccorect A 4x4 square does have the same perimeter and area 4x4=16 4+4+4+4=16 But there are also other shapes such as a circle witha diameter of 2 A right angled triangle with sides of 6, and 8 and the hypotenuse being 10 has the same area as perimeter.


Why the area and the perimeter of a figure can never be equal?

The area and perimeter cannot be equal because the perimeter is a linear measure while an area is a square measure. However, it is perfectly possible for them to have the same numerical value. For example, a 3cm by 6 cm square has a perimeter of 2*(3+6) = 18 cm and an area or 3*6 = 18 sq cm.

Related questions

What is length of the side of a square if its perimeter and area have the same value?

4 units


A square may have the same numerical value for its area and perimeter?

Let's say the side length of a square is x. The square's area is just x2, and its perimeter is 4x. If we want the perimeter to be equal to the area, 4x = x2, so x = 4.


A shape with the same area and perimeter?

As a perimeter is a measure of length and has different units to those measuring an area then it is the numerical value that is the same. CIRCLE : area = perimeter occurs when πr2 = 2πr = : r = 2 SQUARE : area = perimeter when d2 = 4d : d = 4, where d is the length of a side.


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


The area of a rectangle is 100 inches the perimeter is 40 a second rectangle has the same area but a different perimeter. Is the second rectangle a square?

the area of a rectangleis 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same area but a different perimeter. Is the secind rectangle a square? Explain why or why not.


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


What shape has the same area but a different perimeter?

a square


Do figures with the same perimeter have the same area?

not necessarily. take the example of a 3x3 square and a 4x2 rectangle. Both have a perimeter of 12. but the square has an area of 9 and the rectangle has an area of 8.


Can a square have the same perimeter and area?

The area and perimeter might be written with the same number,but they can't be 'the same' because they have different units.If the length of the side of the square is 4 feet, thenits perimeter is 16 feet and its area is 16 square feet.These are not 'the same'.


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

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


What shape has the same perimeter and area?

A square 4 squares in the middle and 4 lines out so it has to be a square!!! actually a square does not have the same perimeter and area a 4x4 area square has 8 perimeter so no squares do not but i have made a shape that has 32 perimeter and 32 area so it is possible and we don't want to tell you what the shape is. i already gave you too much information with the 32.... << inccorect A 4x4 square does have the same perimeter and area 4x4=16 4+4+4+4=16 But there are also other shapes such as a circle witha diameter of 2 A right angled triangle with sides of 6, and 8 and the hypotenuse being 10 has the same area as perimeter.


Can a shape have the same area but not perimeter?

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