Question

Hendrick wants to enlarge a photo that is 4 inches wide and 6 inches tall and large photo keeps the same ratio how tall is the enlarge photo if it is 12 inches wide

Answer 1

Write out the ratio. 12/x=4/6. From here you can see that to get from 12 to 4, you divide by three. To find x, multiply 3 to 6. Your answer is 18 inches. 

Answer 2

18 inches

Explanation:

We have that,

Length of the photo,
`L_(s)` = 6 inches and Width of the photo,
`W_(s)` = 4 inches.

Now, the photo is enlarged with the new width i.e.
`W_(l)` is 12 inches.

Let, the length of the enlarged photo i.e.
`L_(l)` be x inches.

Since, the ratio between length and width remains same, we have the relation,

`(L_(s))/(W_(s))=(L_(l))/(W_(l))`

i.e.
`(6)/(4)=(x)/(12)`

i.e.
`(3)/(2)=(x)/(12)`

i.e.
`x=(3* 12)/(2)`

i.e.
`x=(36)/(2)`

i.e.
`x=18`

Hence, the length of enlarged photo is 18 inches.