Question

In a photograph, a house is 4 inches wide and 6 inches tall. The photograph is enlarged while keeping proportional dimensions, and the width of the house in the enlarged photograph is 9 inches. What is the height of the house in the enlarged photograph?

A)2.7 inches

B)6.0 inches

C)11.0 inches

D)13.5 inches

Answer 1

13.5

Explanation:

Answer 2

Since you keep proportional dimensions, the proportion between the old and new dimensions must be the same. So, if we call the new height
`h`, the preservation of the width/height ratio is written as

`4 / 6 = 9 / h`

Solving the proportion for
`h` yields

`h = (6\cdot 9)/(4) =(3\cdot 9)/(2) = (27)/(2) = 13.5`