Question

the area of a square field is 5184 km square a rectangular field whose length is twice its breadth as its perimeter equal to the perimeter of the square field find the area of the rectangular field

Answer 1

Here is your answer it may help you....

Answer 2

The answer is given below :

Let, each side of the square field = a km.

Then, the area of the square = 5184 km²

=> a² = 5184

=> a = 72, where we neglect the positive value.

So, each side of the square is 72 km.

Now, the perimeter of the square field

= 4a

= 4 × 72 km

= 288 km

Let us consider that the length and the breadth of the rectangular field are 2b km and b km respectively.

So, perimeter of the rectangular field

= 2 × (2b + b)

= 2 × 3b

= 6b km

Given that, perimeter of the rectangular field = perimeter of the square field

=> 6b = 288

=> b = 48

So, breadth of the rectangular field = 48 km

and

the length of the rectangular field = 96 km.

Hence, the area of the rectangular field

= length × breadth

= 96 × 48 km²

= 4608 km²

Thank you for your question.