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Q.

The width and length of a rectangular board is 50 cm and 60 cm, respectively. A student has to draw its image on his notebook. While drawing the image on notebook, he takes the scale 1:10, then the width and length of the rectangular board on the notebook respectively are:


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a

5 cm, 6 cm

b

7cm, 10 cm

c

50 cm, 60 cm

d

3 cm, 5 cm 

answer is A.

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Detailed Solution

Given that scale considered = 1 : 10.
We know that scale is the ratio of the dimensions of the design or model to the actual dimensions i.e.,  Scale of map = Size Drawn Actual Size .
So, the width of the rectangular board in the notebook illustration for an actual length of 10 cm = 1 cm.
Also given, actual width and length of a rectangular board is 50 cm and 60 cm, respectively.
Hence the width of the rectangular board on the notebook
= 50 ×  1 10   cm = 5 cm
Similarly, the length of the rectangular board on the notebook
= 60 × 1 10   cm = 6 cm
Therefore, the correct option is (1).
 
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