Question

The area of a square field is 5184 m*2. A rectangular 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.

Please answer my question with explanation.​

Answer 1

Step-by-step explanation:

Area of square = side ^2

=> 5184 m^2 = side^2

=> side = 72 m

Perimeter of square = 4 × 72 m = 288 m = Perimeter of rectangle

Let breadth of rectangle be x.

Then length is 2x.

Perimeter of rectangle = 2(length + breadth)

=> 288 m = 2 (x + 2x)

=> 3x = 144 m

=> x = 48 m

Therefore, length = 2x = 96 m, breadth = x = 48 m

Area = 96 × 48 m = 4608 m^2

Therefore answer is 4608 m^2

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