Aphotographer 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? 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

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

So, the Area of enlarged photograph= *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

Area of new photograph=3850

3201

step-by-step explanation: