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Question

How do you find the perimeter given the Area ?


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Solution

Finding the perimeter:

Step 1: Finding perimeter of square if area of square is given,

The perimeter can be found when the area is given. This is dependent on the area of the given shape.

To determine the perimeter of a square, we need to know the area of the square.

The formula for area of square is a=s2

The formula for perimeter of square is p=4s

Therefore, when the area is given, it should be substituted in area formula to obtain the value of s. This value of s is used for determining the perimeter of a square.

Step 2: Finding perimeter of rectangle if area of rectangle is given

To determine the perimeter of a rectangle, we need to know the area of a rectangle.

The formula for area of a rectangle is a=length ×width

The formula for perimeter of a rectangle is p=2×( length + width )

When the area is given, it should be substituted in area formula to obtain the values of length and width. These values are used for determining the perimeter of a rectangle.

Step 3: Finding perimeter of circle if area of circle is given

To determine the perimeter of a circle, we need to know the area and perimeter of a circle.

The formula for area of a circle is a=πr2

The formula for perimeter of a circle is p=2πr

Therefore, when the area is given, it should be substituted in area formula to obtain the values of radius. This value is used to determine the perimeter of a circle.

Hence, in this way we can find the perimeter, if area is given.


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