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If the area of a rectangle is equal to
LengthxSide
and perimeter of the same rectangle is equal to
2(Length)+2(side)
and we set these to equal each other, the result is
LxS=2L+2S
If we solve this equation for L we get
L=2S/(S-2)
We could likewise solve for S to get
S=2L/(L-2)
And we see it is possible under this circumstance for a rectangle to have the same numerical value for its perimeter and area. For example L=3, S=6 is a simple solution.
The problem is arguably not very meaningful. because perimeter and area are different physical quantities; one is a length (say in metres) and the other an area (in square metres). If the numbers are the same it's just a numerical coincidence with no geometrical significance.
However, one can make the problem more interesting by considering L getting very large. Then S becomes close to 2, and we have a long thin rectangle with area approximately 2L and perimeter also approximately 2L (because the two long sides are much larger than the short ones).
Exercise for the reader : what happens to the rectangle when L becomes just very slightly above 2?
As a further addendum, we can ask if it's possible to get a square with the area equal to the perimeter. A square has L=S, so the required condition becomes L=2L/(L-2)
which can be manipulated to give L(L-4)=0. Ignoring the zero solution, this gives L=4 and the square has area 16 and perimeter 16.
What else can I help you with?
Is it possible for a rectangle to have a same numerical perimeter and area measure?
Yes.
How do you get the experimental value of a rectangle?
A rectangle has no value - experimental or otherwise. Its area has a value, its perimeter, its aspect have values.
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
What is the area of a rectangle 5x7?
The area of rectangle is : 35.0
How do you find the area of a rectangle that is 5in on all sides?
This would be a square, not a rectangle. In either case to get square value just multiply length times width.
Is it possible for a rectangle to have a same numerical perimeter and area measure?
Yes.
The area of the entire figure below is 111 square unit. How can we describe the area of the striped rectangle Choose 1 answer:?
The area of the striped rectangle can be described as a portion of the total area of the figure. To determine the exact area of the striped rectangle, we would need to know the dimensions of the rectangle and calculate its area using the formula for the area of a rectangle (Area = length x width). The area of the striped rectangle would be a specific numerical value representing the space it occupies within the larger figure.
How do you get the experimental value of a rectangle?
A rectangle has no value - experimental or otherwise. Its area has a value, its perimeter, its aspect have values.
What is the radius of a circle that has a circumference with the same numerical value as its area?
1
What are the possible area of the rectangle?
The usual way to calculate the are of a rectangle is to multiply length x width.
The area of rectangle?
Rectangle area = (rectangle width) x (rectangle height)
Formula for finding the area of a rectangle?
A = lw Area of a rectangle = length times width
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
What is the algorithm of 'get the area of rectangle'?
1.Start 2.declare values of l and b 3.please enter value of l and b 4.take values of a and b 5.area of rectangle =l*b 6.print area of rectangle 7.end
What is the area of a rectangle 5x7?
The area of rectangle is : 35.0
How do uou find the length of a rectangle?
If you know the length of one side - and the area... divide the area by the known side - to get the value of the unknown.
How do you find the area of a rectangle that is 5in on all sides?
This would be a square, not a rectangle. In either case to get square value just multiply length times width.
