Perimeter and area are not sufficient to determine the shape of a figure.
a rectangle
Yes
Yes.
The perimeter is 8 + 5 + 2 + 3 = 18 inches. The area is indeterminate since the sides of a four sided figure do not uniquely determine its shape - it is flexible in the same way that a square can be flexed into a rhombus and the area reduced to zero.
a 4*5 rectangle.
a rectangle
Yes
Yes.
It depends. What shape is it? And is it equilateral or not?
Yes if you
Yes.
Yes.
The perimeter is 8 + 5 + 2 + 3 = 18 inches. The area is indeterminate since the sides of a four sided figure do not uniquely determine its shape - it is flexible in the same way that a square can be flexed into a rhombus and the area reduced to zero.
a 4*5 rectangle.
Actually it is possible.
The simplest shape is a 6ft*3 ft rectangle.
The perimeter and area of a shape do not provide sufficient information. With a given perimeter, the largest area that you can enclose is a circle, but you can then flatten the circle to reduce its area. Similarly, in terms a of quadrilaterals, a square has the largest area, but it can be flexed into a rhombus whose area can be made as small as you like. All that can be said is that there is no shape with a perimeter of 12 units whose area is 12 square units.