Question

The area of a square field is 5184 m square. A rectangular field, whose length is twice its breadth, has its perimeter equal to perimeter of the square field. Find the area of the rectangular field.

Answer 1

Area of the square field = 5184 m square
Side of the square field = $\sqrt{5184}$ m = 72 m
Perimeter of the square field = 4 × side = 4 × 72 m = 288 m
According to your question, the perimeter of the square field is the same as the perimeter of the rectangular field. 
∴ Perimeter of the rectangular field = 288 m
Let the breadth of the rectangular field be x m. 
Length of the rectangular field = 2x m
Now, 
2(Length + Breadth) = Perimeter
2(2x + x) = 288
2(3x) = 288
6x = 288
x = 288 ÷ 6
x = 48
Length of the rectangular field = 2x m = 2(48) m = 96 m
Breadth of the rectangular field = x m = 48 m
Area of the rectangular field = Length × Breadth = 96 m × 48 m = 4608 m square. 
∴ Area of the rectangular field is 4608 m square. 

Hope this may help you. 

Answer 2

Answer:

Step-by-step explanation: