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What is the length of one side of the square whose perimeter has the same numerical value as its area?
Wiki User
∙ 11y ago
If the side of the square is X then we are going to have 4x=x2
From this equation we get x=4
Wiki User
∙ 11y ago
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What is length of the side of a square if its perimeter and area have the same value?
4 units
What are the rectangles that have the same perimeter as area?
Perimeter is a length, and a length cannot be the same as an area.Ignoring the units, all rectangles that have the same numerical perimeter as area are those that satisfy:2 x (length + width) = length x widthwhich can be rearranged to give:width = 2 x length/(length - 2)Meaning that given any length over 2, a width can be found to give a rectangle that meets the requirement that its numerical perimeter is the same as its numerical area. (For a length greater than 0 and less than 2, the width would be negative and not possible; similarly for a length less than 0, the length is negative and not possible. When the length is 2, the width is undefined and so not possible. When the length is 0 the width is 0 and it is not a rectangle.)At some stage as the length increases, the length will equal the width and as the length continues to increase the rectangle then given will match the previous rectangles with the length and widths swapped. This occurs when:length = 2 x length/(length - 2)⇒ length x (length - 4) = 0⇒ length = 4.So, as long as the length is greater than or equal 4 it will be the longer side - the length, by convention, is the longer side. Thus all rectangles satisfy:width = 2 x length/(length - 2)with length ≥ 4, will have the numerical value of their perimeter the same as the numerical value of their area.For example:4 cm x 4 cm: perimeter = 16 cm, area = 16 cm25 cm x 31/3 cm: perimeter = 162/3 cm, area = 162/3 cm26 cm x 3 cm: perimeter = 18 cm, area = 18 cm241/2 cm x 33/5 cm: perimeter = 161/5 cm, area = 161/5 cm2etcNote: the first example is a square which is a rectangle with all the sides the same length.
How do you calculate perimeter in acres?
There is no one answer, it depends on the shape. The smallest value of perimeter will be for a circle. For a four sided shape the smallest will be for a square, for a rectangle the perimeter gets bigger the longer and narrower the area becomes. Knowing the area in acres gives the number of square yards only, you have to know either the length or width, work out the width or length as the case may be, then just add up the four sides.
The area of a rectangle is 319 square kilometersFind its length?
This question cannot be answered sensibly. A square km is a measure of area, with dimensions [L2]. A length has dimensions [L]. Basic dimensional analysis teaches that you cannot convert between measures with different dimensions such as these without additional information. It is not possible to determine the perimeter of the rectangle either. Assuming the length is greater than the breadth, the length can have any value at all as long as it is at least equal to sqrt(319) km ie 17.86 km. Consequently the perimeter can be any value greater than (or equal to) 4 times the square root of 319 (in km). Length = 17.85 km gives breadth = 17.85 km and perimeter = 71.44 km or length = 178.5 km, breadth = 1.785 km and perimeter = 360.78 km or length = 1785 km, breadth =0.1785 km and perimeter = 3572.5 km etc.
If the perimeter of isosceles triangle ABC is 20 and the length of side AC is 8 what is one possible value for the length of side BC?
13
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.
What is length of the side of a square if its perimeter and area have the same value?
4 units
Is the perimeter always smaller than the area?
The perimeter is in linear units (e.g. meters), and the area in square units (e.g. square meters), so you can't compare them directly. If you insist on comparing a square unit with a linear unit - even though this has no physical significance! - it all depends on the units chosen, and the size. A square of 1x1 has a surface area of 1 square unit, but a perimeter of 4 units. This is a counterexample to your proposition. At a size of 4x4, you reach the "break-even point"; above that, the perimeter would have a lower numerical value than the area. But please note that if you use physical measurements, the square of 1 meter x 1 meter (for example) has a perimeter of 4 meters and an area of 1 square meter (perimeter has a higher numerical value), but when you change units to centimeters, the same square has a perimeter of 400 cm, and an area of 10,000 cubic centimeters (here, the perimeter has a LOWER numerical value).
What are the rectangles that have the same perimeter as area?
Perimeter is a length, and a length cannot be the same as an area.Ignoring the units, all rectangles that have the same numerical perimeter as area are those that satisfy:2 x (length + width) = length x widthwhich can be rearranged to give:width = 2 x length/(length - 2)Meaning that given any length over 2, a width can be found to give a rectangle that meets the requirement that its numerical perimeter is the same as its numerical area. (For a length greater than 0 and less than 2, the width would be negative and not possible; similarly for a length less than 0, the length is negative and not possible. When the length is 2, the width is undefined and so not possible. When the length is 0 the width is 0 and it is not a rectangle.)At some stage as the length increases, the length will equal the width and as the length continues to increase the rectangle then given will match the previous rectangles with the length and widths swapped. This occurs when:length = 2 x length/(length - 2)⇒ length x (length - 4) = 0⇒ length = 4.So, as long as the length is greater than or equal 4 it will be the longer side - the length, by convention, is the longer side. Thus all rectangles satisfy:width = 2 x length/(length - 2)with length ≥ 4, will have the numerical value of their perimeter the same as the numerical value of their area.For example:4 cm x 4 cm: perimeter = 16 cm, area = 16 cm25 cm x 31/3 cm: perimeter = 162/3 cm, area = 162/3 cm26 cm x 3 cm: perimeter = 18 cm, area = 18 cm241/2 cm x 33/5 cm: perimeter = 161/5 cm, area = 161/5 cm2etcNote: the first example is a square which is a rectangle with all the sides the same length.
Value of a perimeter be rational or irrational?
Either. The perimeter of a square with area 1 square unit is 4, a rational value. The perimeter of a square with area 2 square unit is 4*sqrt(2), an irrational value.
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.
How does increasing the dimensions of a rectangle impact the perimeter?
If you increase the rectangle's length by a value, its perimeter increases by twice that value. If you increase the rectangle's width by a value, its perimeter increases by twice that value. (A rectangle is defined by its length and width, and opposite sides of a rectangle are the same length. The lines always meet at their endpoints at 90° angles.)
Is it possible for the perimeter to be the same numerical value as the area on a irregular shape?
Noyou must have did something wrong
The perimeter of a square is 24 meters what is the lenght of one side of the square?
The perimeter of a square is equal to 4 times the value of one side. So P = 4s 24 = 4s 24/4 = 4s/4 6= s The length of one side is 6 meters.
How do you convert square feet to thousand square feet?
Divide the numerical value, in square feet, by 1000.
How do you find the area of a rectangl if you only have the perimeter?
With great difficultly. The area could be any value greater than 0 units2 and less than or equal to the area of a square with the given perimeter which would be 1/16 x perimeter2 units2. To know which of the possible areas you would need to know the length of one side, then you can work out the area: perimeter = 2 x (length + width) ⇒ width = (1/2 x perimeter) - length ⇒ area = length x width = length x ((1/2 x perimeter) - length) = (1/2 x perimeter x length) - length2
