the area of a square field is 5184m square.A rectangular field, whose length equal to the perimeter of the square field. find the area of the rectangular field.
Answers
It is given that the area of a square field is 5184 m^2 and from the properties of square we know that area of any square in equal to that square of its side( any side, since all sides are equal in square ) .
Thus,
= > Area of this square = 5184 m^2
= > ( side of this square )^2 = ( 5184 m^2 )
= > ( side of this square )^2 = ( 72 m )^2
Comparing both sides we get that the lengthy of each side of the square is 72 m.
From the properties of rectangle and square : -
- Perimeter of square = 4 x side
- Area of rectangle = length x breadth
According to the question : -
= > Length of rectangle = perimeter of square
= > length of rectangle = 4 x side
= > length of rectangle = 4 x 72 m
= > length of rectangle = 288 m
Thus,
= > Area of rectangle is 288 m x breadth
Let a constant algebraic term n m( m is the unit ), which is used to represent the breadth of the rectangle.
Hence the required area of the rectangle is 288n m^2, where n is a term representing breadth of the rectangle.