Question

A frame is 9in wide and 6 in tall. If it reduces to a width of 3 in then how tall will it be?

Answer 1

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  

$\frac{original\ width}{original\ height} = \frac{reduces\ width }{reduces\ height}$

put the all the value

we get

$\frac{9}{6} = \frac{3}{x}$

solve the  above

$x = \frac{6\times3}{9}$

x = 2in

therefore 2in tall will be the frame .

Hence proved