First, think of the possible factors of the perimeter.
Example.... 36
6 x 6
1 x 36
2 x 18
3 x 12
I will use 2 x 18. Now you divide both 2 and 18 by 2. That equals 1 and 9. Now multiple 1 x 9 = 18 so the perimeter of a 36 cm rectangle is 18
OR try 6 x 6 which reduces to 3 and 3, and their product is 9.
I do believe that just the perimeter is insufficient data for a valid answer.
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You can't. The perimeter doesn't tell the area. There are an infinite number of
shapes with different dimensions and different areas that all have the same
perimeter.
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The square is.
The perimeter of rectangle A would then be 80 because 80 to 100 is 4 to 5 simplified and the area of triangle A would depend on the sides and area of rectangle B which have not been given.
In the case of a rectangle, you would maximize the area given the perimeter by making the dimensions equal. In other words, you would make the rectangle into a square. However, to truly maximize the area, you would make the perimeter a perfect circle.
The area of a rectangle is not enough information to determine its shape (thin and narrow or fat and short) and therefore its perimeter.
If you are given the area you will have to think what do you times with the number you have to get it.