Bunuel wrote:

The figure above shows the dimensions of a rectangular box that is to be completely wrapped with paper. If a single sheet of paper is to be used without patching, then the dimensions of the paper could be

(A) 17 inches by 25 inches

(B) 21 inches by 24 inches

(C) 24 inches by 12 inches

(D) 24 inches by 14 inches

(E) 26 inches by 14 inches

Attachment:

2017-12-07_0956.png

Hi..

the choices here have not made it tricky, and that is why just by looking at the area you have got your answer inspite of missing on words WITHOUT PATCHING.

SAY I gave you a choice 30*15... so this gives you an area 450>432. would that be an answer...NO

the trick is to look at the dimensions and then visualize wrapping it..

few dimensions that could be the answer..

1) \((20+2+2) * (2+8+2+8) = 24*20\)

2) \(( 8+2+2) * (2+20+2+20) = 12*44\)

there can be others too.

But our answer 24*21 is just bigger than 24*20

For above ways and other ways too think of opening the box as one paper

Thanks for the hint. I'll try

The box when visualized to be one paper the dimension would be L *B = (8+2+2)*(20*2 +2+2) = 12* 44= 528.

However, this would include the overlap of paper on the corners. So exact area would be little less than 528. We have B = 504.