Respuesta :
The length of one side of a square will be [tex](\frac{l+b}{2} )[/tex] where, "l" is the length of the rectangle and "b" is the breadth, if a square has the same perimeter as this rectangle.
As per the question statement, the perimeter of square is equal to that of a rectangle.
From this above mentioned condition, we will have to calculate the length of one side of the square.
Since no numerical data is provided about the "l' and "b" of the rectangle in the question statement, we will go ahead with "l' and "b" as variables to calculate a generalized answer.
We know that, the formula to calculate the perimeter of a rectangle goes as
[tex][2*(l+b)][/tex] where, "l" is the length of the rectangle and "b" is the breadth.
As per the question-mentioned condition, the perimeter of our generalized square is also [tex][2*(l+b)][/tex]
But the formula to calculate the perimeter of a square goes as (4*a), where "a" is the length of one side of the square.
Therefore, [tex]4a = 2(l+b)\\[/tex]
[tex]or, a=\frac{2(l+b)}{4}\\ or, a=\frac{(l+b)}{2}[/tex]
- Square: In Euclidean plane geometry, a square is a quadrilateral with four right angles and 4 equal sides, i.e., more specifically can be defined as a parallelogram with all four interior angles being right-angles and all four sides being equal.
- Perimeter: In Euclidean plane geometry, perimeter is the continuous line forming the boundary of a closed geometrical figure.
To learn more about Perimeters and Squares, click on the link below.
https://brainly.com/question/11495285
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