Answer :
The required perimeter will be of rectangle will be = 70 cm .
Area is defined as the amount of space that is occupied by any shape, object, or flat surface. The total number of square units that can fit into a shape or an object or a flat surface defines the actual area. The perimeter of a shape is calculated by adding up the length of all the sides or by measuring the outer boundary of a shape or an object.
Let the width of rectangle be x .
⇒ Length of rectangle = 4x
Given : Area = length * width
= 196 [(cm)^2]
Substituting values of length and width in above formula
Area = 4x * x
196 = 4 ( x^2 )
4 ( x^2 ) = 49
x = +7 , -7
Since width cannot be negative therefore x = +7 .
Width = 7 cm , Length = 4*7 = 28 cm .
Perimeter = 2 (length + width )
= 2 (28+7)
= 2 (35)
= 70 cm
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