Question

A photographer is planning to enlarge a photograph by a scale factor of 1:5 . The original photograph has an area of 154 square inches.

What is the area of the new photograph?

_____in²

Answer 1

Your answer should have been 3850 in^2

1^2/5^2 = 1/25

1/25 = 154/x
1x= 154 (25)
1x/1= 3850/1
x= 3850

Answer 2

A photographer is planning to enlarge a photograph by a scale factor of 1:5 . The original photograph has an area of 154 square inches.

Solution:

The photograph is being enlarged by a factor 5.

So, each dimension of the photograph is enlarged by 5

So, area is enlarged by
`5^(2)`

Or, Area is enlarged by a factor=5*5=25

So, the Area of enlarged photograph=
`5^(2)` *Area of original photograph

Area of enlarged photograph=25*Area of original photograph

Area of enlarged photograph=25*154

On multiplying 25 by 154 we get 3850

Area of enlarged photograph=3850
`inches^(2)`

Answer:

Area of new photograph=3850
`in^(2)`