Amit had a poster made from a picture of his dog Tommy. The poster is 5 times the size of the picture. If the poster is 160 cm. in height, what was the height of Amit's original picture of Tommy (in centimeters)?

16 cm

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20 cm

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32 cm

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64 cm

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Solution

The correct option is C
32 cm

Here, the scale factor k = 5, Poster height = 160 cm, Original picture height = ?

Using, New image length = Scale factor $\times$ Old image length

i.e. 160 cm is the new image length, so to find the original i.e. old image length or height we divide 160 by given scale factor.

Therefore, we get, Old image height = New image height $\div$ scale factor = 160 $\div$ 5 = 32 cm

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