Given
A frame is 9in wide and 6 in tall.
If it reduces to a width of 3 in
Find out the how tall will it be .
To proof
As given in the question
A frame is 9in wide and 6 in tall.
reduces to a width of 3 in
now as shown in the table given below
This table shows that the width of a frame is directly proportional to the height (tall) of the frame.
let us assume that the height of the frame after reduces width to 3in be = x
than the equation becomes
[tex]\frac{original\ width}{original\ height} = \frac{reduces\ width }{reduces\ height}[/tex]
put the all the value
we get
[tex]\frac{9}{6} = \frac{3}{x}[/tex]
solve the above
[tex]x = \frac{6\times3}{9}[/tex]
x = 2in
therefore 2in tall will be the frame .
Hence proved
