Question

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

Answer 1

486 in.2 is the answer!!

Explanation:

Answer 2

= 486 in²

Explanation:

Linear scale factor = Image distance/object distance

Therefore; Linear scale factor = OL'/OL

= 54/ 12

= 9/2

Area scale factor is equivalent to the square of linear scale factor

Thus;

Area scale factor = (9/2)²

= 81/4

Hence; 81/4 = Area of larger rectangle/Area of smaller rectangle

Area of the smaller rectangle = 4 ×6 = 24 in²

Therefore;

Area of enlarged or larger pic = 81/4× 24

= 486 in²