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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.
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What is the area and perimeter of a square if the side equal 10cm?
Perimeter = 40cm. Area = 100cm2
Which of the squares has an area that is equal to its perimeter?
A square that measures 4 per side. Perimeter = L + L + L + L = 4L = 4*4 = 16 Area = L * L = 4*4 = 16 Although technically they won't be equal since perimeter has units of length, while area has units of squared length.
True Or False Is The perimeter of a polygon is the number of square units contained in its interior?
The perimeter of a polygon is not generally equal to the number of square units contained in its interior, which is the definition of the area of the polygon, not of its perimeter. By coincidence, the area and perimeter of a square four units on each side have the same magnitude, 16, but the perimeter is 16 units and the area is 16 square units .
What is the relation between perimeter and triangle area?
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).
What is the perimeter of 1 hectar?
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).
