the area of a square field is 5184m square . a rectangular field , whose length is twice its breadth , has its perimeter of the square field. find the area of the rectangular field .

the area of a square field is 5184m square . a rectangular field , who

1.	the area of a square field is 5184m square . a rectangular field , whose length is twice its breadth , has its perimeter of the square field. find the area of the rectangular field .
Answer» N : Given,area of square field is 5184 m² ★ Area of square = (side)²→ 5184 = (side)²→ side = √5184 → side = 72 m Let's find the perimeter of the square field : ★ Perimeter of square = 4 × side→ Perimeter = 4 × 72 → Perimeter = 288 m Let's move to the rectangular portion - Let the breadth of rectangular field be X and length be 2x ★ Perimeter of RECTANGLE = 2(l + b) → Perimeter = 2(2x + x) → Perimeter = 4x + 2x → Perimeter = 6x Given, Perimeter of square field is equal to the perimeter of rectangular field. → 288 = 6x → x = → x = 48 m • Breadth of rectangular field = 48 m • Length of rectangular field = 48(2) = 96 m Now, Let's find area of the rectangular field : ★ Area of rectangle = Length × Breadth → Area = 96 × 48 → Area = 4608 m² Area of the rectangular field is 4608 m².