The area of a square is 900 cm². The length of a rectangle is twice the side of the square. If the perimeter of the rectangle is 216 cm, then find the breadth of the rectangle (in cm).

Explanation

​ Information Given: Area of square = 900 cm² Length of rectangle = 2 × side of square Perimeter of rectangle = 216 cm Concept/Formula Used: Area of square = side² Perimeter of rectangle = 2 (Length + Breadth) Explanation: Let length and breadth of the rectangle be L and B cm respectively. Side of square = √900 = 30 cm L= 2 × 30 = 60 cm Perimeter = 2 (L + B) 216 = 2 (60 + B) 216 = 120 + 2B 2B = 96 B = 48 cm Final Answer: 48 cm