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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