How To Find The Perimeter Of A Square Or Rectangle
Perimeter of a Square
A foursquare is a type of rectangle in which the side by side sides are equal. In other words, all the sides of a foursquare are equal.
Following are the properties of a square:
(i) All the angles in a square are the same and equal 90º.
(ii) All the sides of a square are equal.
Perimeter of a square
The perimeter of a square is the total length of all the sides of the square. Hence we can detect the perimeter of a foursquare past adding all its four sides.
The perimeter of the given square is a + a + a + a. Since all sides of a square are equal, we only need 1 side to find its perimeter.
The perimeter of the given square is:
a + a + a + a = iv a units.
Hence, the formula of the perimeter of a square = four × (length of any 1 side).
Tricky math problems with the squares:
Type I: Finding side length when only the perimeter is given.
Example 1. If the perimeter of the given square is 12 cm. What will be the length of its side?
Solution: Given, the perimeter of the foursquare is 12 cm.
Let the side length be 'a' cm.
Nosotros know that, the perimeter of a square = iv × (side length)
12=iv×(a)
a = 3 cm
Type Ii: Finding sides using square properties.
Instance 2.If a = 4 cm in the given square. Discover b, c. and d.
Solution: Given that side a = iv cm.
To discover side b, c, and d we apply the holding of the square which states that all the sides of a square are equal.
Therefore, a = b = c = d = 4 cm
Blazon III: Finding perimeter when i of the sides is given.
Example 3. One of the sides of a square is 5 cm. What volition be its perimeter?
Solution: Given, one side of the square is 5 cm.
We know that, the perimeter of a square = iv × (side length)
= 4×(five)
= xx cm
Example four. The length of a side of the foursquare wooden frame is 5 cm. Discover the total length of the wood used in the frame.
Solution: Given, the length of a side of this wooden frame is five cm.
Equally we know, the perimeter of a square = 4× (side length)
= 4 (5)
= 20 cm
Hence, the total length of the wood used is 20 cm.
Fun Facts
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Squares are i of the iii most basic shapes on the earth. The other ii are circles and triangles.
Source: https://www.splashlearn.com/math-vocabulary/measurements/perimeter-of-a-square
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