​The area of a rectangle is $$396 \, \text{cm}^2$$​, and its length and breadth are in the ratio of 11 : 9. What is its perimeter? ​

Correct option is C

Given:

​The area of a rectangle is $$396 \, \text{cm}^2$$​, and

Its length and breadth are in the ratio of 11 : 9. 

Formula used:

Area = Length × Width

Perimeter = 2 × (Length + Breadth)

Solution:

Let the length be 11x and the breadth be 9x (since the ratio is 11:9).
Now, using the area:

396 = (11x) × (9x)

396 = 99x²

x² = $$\frac{396}{99}$$

​​x²= 4

x = 2

Now that we know x = 2:​​

Length = 11x = 11 × 2 = 22cm

Breadth = 9x = 9 × 2 = 18 cm

Perimeter of the rectangle = 2×(Length + Breadth)

Perimeter = 2×(22 + 18)

Perimeter = 2×(40)

Perimeter = 80 cm

Hence,option (c) is correct.

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