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Question

The length of a rectangular wooden board is thrice its width. If the area of the board is 192 cm2, find the cost of framing it at the rate of ₹5 per 20 cm.


A

₹10

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B

₹16

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C

₹20

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D

₹22

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Solution

The correct option is B

₹16


Let the width of the board be x.

The length of the board =3x

Area =l×b=x×3x=3x2

3x2=192

x2=64

x=8 cm

3x=8×3=24 cms

Perimeter =2(l+b)=2(24+8)=2×32=64 cm

Cost of framing 20 cm = ₹5

Cost of framing 1 cm =520

Cost of framing 64 cm =520×64=16


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