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

`(original\ width)/(original\ height) = (reduces\ width )/(reduces\ height)`

put the all the value

we get

`(9)/(6) = (3)/(x)`

solve the above

`x = (6*3)/(9)`

x = 2in

therefore 2in tall will be the frame .

Hence proved