The area occupied by 120 of postal stamps will be ____ $cm 2$ if the area occupied by 15 of them is $60 cm 2 .$ if the area occupied by 15 of them is

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Detailed Solution

The area occupied by 120 of postal stamps will be

480 cm 2

if the area occupied by 15 of them is

60 cm 2 .

It is given that the area occupied by 15 postal stamps is

60 cm 2 .

We know that if two quantities

x

and

y

vary in the same way while maintaining a constant ratio between their respective values, then the two quantities are said to be in direct proportion.
i.e.

x y = k,

where k is a constant positive number.
Let’s assume the area occupied by 120 of postal stamps is

x .

From the given data, we can draw the following table as,
Question Image

Since, on increasing the number of postal stamps, there will be an increase in the occupied area, therefore this is a case of direct proportion. Thus,