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Q.

A picture is 60cm wide and with a length of 1.8m. The ratio of its width to that of its perimeter is ____.

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Detailed Solution

A picture is 60cm wide and with a length of 1.8m. The ratio of its width to that of its perimeter is 1:8.
We are given that a picture is 60cm wide and with a length of 1.8m.
But all the units in ratio must be the same for performing calculations.
First, we will convert all the units into cm.
1m=100cm
1.8m=

1.8 × 100 = 180

cm
Now, we will find the perimeter of the picture using

2 (l + b)

, where l is the length and b is the breadth.
Perimeter=

2 (l + b)

= 2 (180 + 60)

= 480 c m

According to the statement,

60 c m 480 c m = 60 60 × 8

60 c m 480 c m = 18

Hence, the correct answer is 1:8.

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A picture is 60cm wide and with a length of 1.8m. The ratio of its width to that of its perimeter is ____.