If the length and breadth of a rectangle are in the ratio 3 : 2 and its perimeter is 20 cm, then the area of the rectangle (in cm^{2}) is

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RRB ASSISTANT LOCO PILOT (Allahabad) 2010 click here to view all questions

If the length and breadth of a rectangle are in the ratio 3 : 2 and its perimeter is 20 cm, then the area of the rectangle (in $cm^2$) is

A24 $cm^2$

B36 $cm^2$

C48 $cm^2$

D12 $cm^2$

suresh ? Dec 23 '2019 at 16:43

Correct answer is: \(24 \text{ } cm^2\)

Explanation:

\(\Large 2(l+b)=20cm\)

\(\Large 2(3x+2x)=20cm\)
\(\Large 2 \times 5x=20cm\)

\(\Large 10x=20\)

\(\Large x=2\)

\(\therefore length = 3 \times 2=6cm\)

\(breadth = 2 \times 2=4cm\)

\(area = length \times breadth\)

\(\Large =6 \times 4=24 \text{ } cm^{2}\)

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Correct answer is: \(24 \text{ } cm^2\) Explanation: \(\Large 2(l+b)=20cm\) \(\Large 2(3x+2x)=20cm\) \(\Large 2 \times 5x=20cm\) \(\Large 10x=20\) \(\Large x=2\) \(\therefore length = 3 \times 2=6cm\) \(breadth = 2 \times 2=4cm\) \(area = length \times breadth\) \(\Large =6 \times 4=24 \text{ } cm^{2}\) suresh ? answered Dec 23 '2019 at 16:43 All Comments

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