Question

marlo has a photogrph this is 5 inches wide and 7 inches tall.he wants to enlarge the photo to fit in a frame that is 32 inches tall.if the length and width will be scaled proportionally,what is the width of the frame for the enlarged photo?round to one decimal place.

Answer 1

Given: a photograph is 5 inches wide and 7 inches tall.

He wants to enlarge the photo to fit in a frame that is 32 inches tall.

So, the length and the width will be scaled proportionally

So, the scale factor = r= new length over the lod length

`r=(32)/(7)`

It must be the same ratio: new width to old width

Let the new wide = x

so,

`(x)/(5)=(32)/(7)`

solve for x:

`x=(32)/(7)\cdot5=(160)/(7)=22(6)/(7)in`

So, the answer will be: the new width = 22 6/7 inches