The actual length of a painting was 2 km. What is its length in a photograph if the scale used is 1mm:10cm?

Given:

The actual length of a painting was 2 km.

The scale used is 1 mm:10 cm.

To do:

We have to find the length in the photograph.

Solution:

Let the length in Photograph be $x$.

Scale used $=1\ mm:10\ cm$

This implies,

1 mm length in photo $=$ 10 cm in actual length.

$x$ mm length in photo $= 10x$\ cm in actual length

Therefore,

$10x$ cm $= 2$ km

$10x\ cm = 2\times1000\times100\ cm$

$x=20000\ cm$

$x=\frac{20000}{100}\ m$

$x=200\ m$

$x=\frac{200}{1000}\ km$

$x=0.2\ km$

The length in the photograph is 0.2 km.

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Updated on: 10-Oct-2022

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