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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


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

Correct Answer: 198 cm


Solution : Given:
Area = 1944 cm2
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) $=\ 2(27\ +\ 72)=\ 198$ cm2
Hence, the correct answer is 198 cm2.

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