the area of an square field is 5184 m square ,a rectanglular field whose length is twice its breadth has its perimeter equal to the perimeter of the square field .find the area of the rectangular field
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4608 sq.m
Step-by-step explanation:
Area of square = (side)^2
Each side = Square root of area = 72 m
Perimeter of square = 4*side = 4*72 = 288 m
Let breadth of rectangle be x and length be 2x
Therefore perimeter of rectangle = 2(l+b) = 2(2x+x) = 2(3x) = 6x
6x = 288
x = 48m
Breadth = x = 48 m
Length = 2x = 2*48 = 96m
Area of rectangle = Length*breadth = 48*96 = 4608 sq.m
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