Nothing
It has a perimeter of 12 units, an area of 7 (6.9282) square units and an altitude of 3.5 (3.4641) units.
The shape that has an area of 12 and a perimeter of 16 is a rectangle. To find the dimensions of the rectangle, you can set up equations using the formulas for area and perimeter. Let the length of the rectangle be L and the width be W. The equations would be: 2L + 2W = 16 (perimeter) and LW = 12 (area). Solving these equations simultaneously will give you the dimensions of the rectangle.
If the area of a square is 12 the perimeter is: 13.86
Without further information it is impossible to say (exactly): If the rectangle was 0.5 x 6.5, its perimeter is 14 units and its area is 3.25 units2 If the rectangle was 1 x 6, its perimeter is 14 units and its area is 6 units2 If the rectangle was 2 x 5, its perimeter is 14 units and its area is 10 units2 If the rectangle was 3 x 4, its perimeter is 14 units and its area is 12 units2 If the rectangle was 3.5 x 3.5, its perimeter is 14 units and its area is 12.25 units2 (and it's a square). It all depends upon the lengths of the longer and shorter sides of the rectangle: as long as 2 x longer + 2 x shorter = 14, any area greater than 0 units2 and less than or equal to 12.25 units2 can be made.
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.
The area of a hexagon with a perimeter of 12 units is about 10.4 units2
a square
A rectangle with sides of 3 and 4 units will meet the requirements.
215 sf
It is: 4*12 = a perimeter of 48 units
If it's a rectangle then:- Area = 15*12 = 180 square units Perimeter = 15+15+12+12 = 54 units of measurement
Perimeter = 10 + 10 + 12 = 32 units. Area = 48 square units
A 3-4-5 triangle or a rectangle that is 1.268 units * 4.732 units (to 3 dp) are two possible answers.
Nothing
A rectangle with length 5 and width 1 would satisfy those conditions. The area is 5*1=5. The perimeter is 5+1+5+1=5+5+1+1=2(5)+2(1)=10+2=12.
You cannot. All that you can be sure of is that the area is at most 11.46 units. If the shape is a rectangle, it can be 1 x 5 with an area of 5 square units or 0.1 x 5.9 with an area 0.59 square units or 0.01 x 5.99 with an area of 0.0599 sq units and so on. The area can be reduced to as close to zero as you want.