The area of a rectangle is 252 $$cm^2$$​ and its length and breadth are in the ratio of 9: 7 respectively. What is its perimeter ?

Correct option is A

Given:
Area of rectangle = 252 cm²
Ratio of length to breadth = 9:7
Formula Used:
Area = Length × Breadth
Perimeter = 

$$2 \times (\text{Length} + \text{Breadth})$$

Solution:
Let the length be 9x and the breadth be 7x
9x × 7x = 252​

​$$63x^2 = 252$$

$$x^2 = \frac{252}{63}$$

​​​$$x^2 = 4​$$

x = 2

Length = 9 × 2 = 18 cm
Breadth = 7 × 2 = 14 cm
Calculating the perimeter
Perimeter = 2 × (18 + 14) = 2 × 32 = 64 cm
So, 64 cm is its perimeter.
Thus, the correct answer is (a).​​