The area of a square field is 5184 m 2 . 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.

Question

Philoid · Accepted Answer

Let ‘a’ be the side of square field

Therefore,

a² = 5184 m²

a = 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

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.

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.