SOLUTION: Find the area of figure B, if the area of figure C is 192 square inches and the scale factor of similar geometric figures B to C is 1: 8.

Algebra ->  Average -> SOLUTION: Find the area of figure B, if the area of figure C is 192 square inches and the scale factor of similar geometric figures B to C is 1: 8.      Log On


   

Question 1156520: Find the area of figure B, if the area of figure C is 192 square inches and the scale factor of similar
geometric figures B to C is 1: 8.
Found 2 solutions by Boreal, greenestamps:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
B:C=1:8=x:192
1/8=x/192
8x=192
x=24 in^2 for B

Answer by greenestamps(13208) About Me  (Show Source):
You can put this solution on YOUR website!


Scale factor = 1:8 --> ratio of areas = 1^2:8^2 = 1:64

1%2F64+=+x%2F192
64x+=+192
x+=+3

ANSWER: The area of the smaller figure is 3 square inches.