Question

the area of a square field is 5184 m². 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.​

Answer 1

Given: area of square =5184m^2

∴ Side of square =

root 5184 =72m

The perimeter of square =4×72=288m

Let breadth of rectangle =xm

∴ Length of rectangle =2xm

Now, perimeter of rectangle= Perimeter of a square

⇒2(l+b)=288m

⇒2(2x+x)=288

⇒x= 288/6

=48m

∴ Length =2×48=96m, Breadth =48m

Therefore area of rectangle =l×b=96×48=4608m^2

Answer 2

Given:

area of square = 5184m

∴ Side of square = √5184 = 72m

The perimeter of square = 4×72 = 288m

Let breadth of rectangle =xm

∴ Length of rectangle =2xm

Now, perimeter of rectangle= Perimeter of a square

⇒2(l+b)=288m

⇒2(2x+x)=288

⇒x = 388/6 =48m

∴ Length =2×48=96m

Breadth = 48 m

Therefore area of rectangle = l x b

=> 96 × 48 = 4608m²