L=ar.of sq/b=81/3=27cm ....





Perimeter=2(l+b)=2(27+3)=60cm . ..

Area of the Rectangle:
The area of a rectangle is given by the formula A = length × breadth. In this case, the breadth of the rectangle is given as 3 cm. Let's denote the length of the rectangle as L. Therefore, the area of the rectangle is A = L × 3 cm.

Area of the Square:
The area of a square is given by the formula A = side × side. In this case, the side of the square is given as 9 cm. Therefore, the area of the square is A = 9 cm × 9 cm = 81 cm².

Equating the Areas:
According to the question, the area of the rectangle is equal to the area of the square. So, we can equate the two areas:

L × 3 cm = 81 cm²

Finding the Length:
To find the length of the rectangle, we can rearrange the equation:

L = 81 cm² / 3 cm

L = 27 cm

Perimeter of the Rectangle:
The perimeter of a rectangle is given by the formula P = 2(length + breadth). In this case, the length is 27 cm and the breadth is 3 cm. Substituting these values into the formula, we can find the perimeter of the rectangle:

P = 2(27 cm + 3 cm)

P = 2(30 cm)

P = 60 cm

Explanation:
- The question provides the breadth of the rectangle as 3 cm and the side of the square as 9 cm.
- We can use the formulas for the area of a rectangle and the area of a square to set up an equation.
- By equating the areas of the rectangle and the square, we can solve for the length of the rectangle.
- Once we have the length, we can use the formula for the perimeter of a rectangle to find the perimeter of the rectangle.
- In this case, the perimeter of the rectangle is found to be 60 cm.