Question

A photograph is 8 inches long and 6 inches wide. If it is enlarged to 12 inches long, how many inches wide will it be

Answer 1

12/8 x/6
if you cross multiply and divide you get 9. It will be 9 inches wide

Answer 2

Answer: 9 inches

Step-by-step explanation:

Since it is enlarged , the new shape is still similar to the former one. If two shapes are similar , then the ratio of their length will be equal.

Length of the original shape = 8 inches

width = 6 inches

Length of the new shape = 12 inches

Width = x inches

following the rule of similar shape , we have :

$\frac{8}{6}=\frac{12}{x}$

multiply both sides   by $\frac{6}{8}$ , we have

$\frac{8}{6}(\frac{6}{8}) = \frac{12}{x}(\frac{6}{8})$

$1 = \frac{72}{8x}$

$8x = 72$

divide through by 8

$x = 9$