A shape is a nebulous term. It may mean a triangle, a square, or a pentagon in 2D, or a block or pyramid in 3D etc. The perimeter and area cannot be found without defining the shape first. How many dimensions? How many sides?
For example, if the shape is a square, which has 4 edges, its perimeter = 4 * 4 [m] = 16 [m] and its area = 4 [m] * 4 [m] = 16 [m^2].
If you double (2 times) the perimeter the area will will be 4 times larger. Therefore the area is proportional to the square of the perimeter or the perimeter is proportional to the square root of area. The relationship as shown above applies only to triangles with similar proportions, that is when you scale up or down any triangle of fixed proportions. Other than that requirement, there is no relationship between perimeter and area of any shape of triangle except that it can be stated that the area will be maximum when the sides are of equal length (sides = 1/3 of perimeter).
Strictly speaking an area cannot equal a perimeter because an area is a two dimensional concept while a perimeter is one dimensional. A shape can have the same number for its perimeter and its diameter but then thanks to the dimensionality of these measures, this is totally dependant on the units of measurement used.For example a 4m * 4m square has an area of 16 m2 and a perimeter of 16 m. So far so good.But the same shape could be describes as a 400cm * 400 cm square. Now area = 160000 cm2 while perimeter = 1600 cm.Or, 13.1234 ft*13.1234 ft giving an area of 172.2226 square ft and a perimeter of 52.4934 ft.So, through appropriate choice of the unit of measurement, the area and perimeter of any shape can be made numerically equal.
The perimeter of a shape is the distance around the outside, for instance, the length of all the sides of a square added together. The area however, is the amount of space within the shape, for example, to find the area of a square, you would simply multiply the length of the side by length of the side.
Yes it can. If it is a rectangle then the sides would be (7+√31)x(7-√31).
A square area equal to 1 hectare will have each side equal to 100 meters. So the perimeter distance would be 400 meters (100m for each of the four sides).
The greatest area for a fixed perimeter will be when all the sides are equal or when the rectangle approaches the shape of a square.
To draw a shape with the same area and perimeter, decide what shape you want to draw, then take the equations for area and perimeter and make them equal, and then solve what the various side lengths have to be. For instance, the area of a square is L2 where L is the side length, and the perimeter of a square is Lx4 We want them equal, so L2=Lx4 Dividing both sides by L gives us L=4, so if I draw a square with side length 4, it will have the same area and perimeter.
Perimeter: add all sides area: multiply length times width for rectangles
Perimeter:20 inches Area:35
Area is length times width (only for rectangle) while perimeter is all the sides added up (always).
area is the outside of the shape, to get it, add all sides together. perimeter is the diagnal. i learnt that in 7th grade maths. :)
No, you can not calculate an area if you know just the perimeter. For example, rectangle with sides of 10 and 20 would have a perimeter of 60 and an area of 200, but a square of sides 15 would have a perimeter of 60 and an area of 225. You need to know more details about the shape than just the perimeter.
The perimeter is: (4 sides x 9.2 feet = 36.8 feet). The area is: 84.64 square feet.
If you double (2 times) the perimeter the area will will be 4 times larger. Therefore the area is proportional to the square of the perimeter or the perimeter is proportional to the square root of area. The relationship as shown above applies only to triangles with similar proportions, that is when you scale up or down any triangle of fixed proportions. Other than that requirement, there is no relationship between perimeter and area of any shape of triangle except that it can be stated that the area will be maximum when the sides are of equal length (sides = 1/3 of perimeter).
Squares have 4 equal sides. So lets set x equal to one of the sides of the square. x = one side of the square The perimeter of a square is the distance around the outside. This is equal to the sum of the lengths of the sides. Because a square has 4 sides the perimeter is as follows 4x = perimeter Solving for x in this case gives you 7. The area of any rectangle is equal to the base * height. In a square this means side * side or side2. area = x2 Solving for the area in the case given we find that the area of a square with a perimeter of 28 is equal to 49 units2
No, any shape with four sides and same perimeter will always be a square.
You have to add up all the sides of the shape.