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

Answer:

18 inches

Step-by-step 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,

$\frac{L_{s}}{W_{s}}=\frac{L_{l}}{W_{l}}$

i.e. $\frac{6}{4}=\frac{x}{12}$

i.e. $\frac{3}{2}=\frac{x}{12}$

i.e. $x=\frac{3\times 12}{2}$

i.e. $x=\frac{36}{2}$

i.e. $x=18$

Hence, the length of enlarged photo is 18 inches.

Answer 2

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.