Question : The sides of a rectangle are in the ratio of 3 : 8 and its area is 1944 cm2. What is its perimeter?
Option 1: 189 cm
Option 2: 208 cm
Option 3: 198 cm
Option 4: 308 cm
Correct Answer: 198 cm
Solution : Given: Area = 1944 cm 2 Side ratio = 3 : 8 Let, Length = $3x$ Breadth = $8x$ Now, $\Rightarrow 3x\ \times 8x\ =\ 1944$ $\Rightarrow 24x^2\ =\ 1944$ $\Rightarrow x^2\ =\ 81$ $\Rightarrow x\ =\ 9$ So, Length $=3\times 9\ =\ 27$ cm Breadth $=8\times 9\ =\ 72$ cm Perimeter of rectangle = 2(length + breadth) $=\ 2(27\ +\ 72)=\ 198$ cm 2 Hence, the correct answer is 198 cm 2 .
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