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Q.

The length, breadth, and height of a room are in the ratio 3: 2: 1. If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will:


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a

Remain the same

b

Decrease byQuestion Image

c

Decrease byQuestion Image

d

Decrease byQuestion Image 

answer is B.

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Detailed Solution

Concept- The dimensions of the room are 3:2:1 in terms of its length, width, and height. As a result, multiply them by 3x, 2x, and x, accordingly. Then, using the formula 2h(l + b), determine the size of the room's four sides. Then, using the same technique to calculate the new area again after modifying l, b, and h in accordance with the provided information.
Let Question ImageArea of four walls Question ImageNow, Question ImageNew area Question ImageQuestion Image decrease in area Question ImageHence, the correct answer is option 2.
 
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