Question

The area of square field is 5184meter sqare.A rectangular field whose length is twice its breadth has its perimeter equal to the perimeter of the square field. Find the area of rectangular field ​

Answer 1

this is the correct answer

Answer 2

The are of the square field = 5184 m²

⇒ (side)² = 5184

⇒ side = √5184

∴ side of the square is 72 m

Now,

According to the question,

the perimeter of the square = the perimeter of a rectangle(whose length is twice of its breadth)

⇒ 4 × side = 2(l+b)

⇒ 4 × 72 = 2(2b + b)

⇒ 288 = 2(3b)

⇒ 288 = 6b

⇒ 288 ÷ 6 = b

⇒ 48 = b

∴ breadth (b) of the rectangle = 48 m

length = 2b = 2 × 48 = 96 m

Now,

Area of the rectangle = lb

= 96 × 48

= 4608 m²