Question

The area of square field is 576metre square.a rectangular field whose length is twice its breadth has its perimeter equal to the perimeter of the field. find the area of rectangular field.

Answer 1

The area of square field is 576 m^2
Therefore, side^2 = 576
Side = 24 m
Perimeter of Square field = 4 x side
= 4 x 24
= 96 m
Let the breadth of rectangular field = Y m
Then length of rectangular field = 2Y m
Perimeter of rectangle = 2(length + breadth)
= 2(2Y + Y)
= 2 x 3Y
= 6Y
AS PERIMETER OF SQUARE = PERIMETER OF RECTANGLE
Therefore, 6Y = 96
Y = 96 / 6
Y = 16 m
Means the length of rectangular field is 2 x 16
= 32 m and breadth is 16 m.
Area of rectangle = l x b
= 16 x 32
= 512 m^2

Answer 2

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Step-by-step explanation:

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