MATH SOLVE

4 months ago

Q:
# Sissy wants to enlarge a picture of a princess so that she can put it on the wall in her daughter’s room. What will be the area of the enlarged picture on the wall? 24 in.2 108 in.2 224 in.2 486 in.2

Accepted Solution

A:

Answer:= 486 in²Step-by-step explanation:Linear scale factor = Image distance/object distanceTherefore; Linear scale factor = OL'/OL = 54/ 12 = 9/2 Area scale factor is equivalent to the square of linear scale factorThus;Area scale factor = (9/2)² = 81/4Hence; 81/4 = Area of larger rectangle/Area of smaller rectangleArea of the smaller rectangle = 4 ×6 = 24 in²Therefore; Area of enlarged or larger pic = 81/4× 24 = 486 in²