The area of a square field is 5184 m2. A rectangular field, whose leng

1.	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» Let ‘a’ be the side of square field Therefore, a² = 5184 m² a = \(\sqrt{5184}\) m a = 2 × 2 ×2 × 9 = 72 m Perimeter of square = 4a = 288 m Perimeter of rectangle = 2 (l + b) = 288 m 2 (2b + b) = 288 b = 48 and l = 96 Area of rectangle = 96 × 48 m² = 4608 m² = 4608 m²

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»

Let ‘a’ be the side of square field

Therefore,

a² = 5184 m²

a = \(\sqrt{5184}\) m

a = 2 × 2 ×2 × 9

= 72 m

Perimeter of square = 4a

= 288 m

Perimeter of rectangle = 2 (l + b)

= 288 m

2 (2b + b) = 288

b = 48 and l = 96

Area of rectangle = 96 × 48 m² = 4608 m²

= 4608 m²