SOLUTION: A square with side lengths of 15 cm is reduced by a scale factor of 0.8. Determine the side lengths of the new square?(I haven't learned about scale factors) a) 4 cm b) 8 cm c

Question 1150880: A square with side lengths of 15 cm is reduced by a scale factor of 0.8. Determine the side lengths of the new square?(I haven't learned about scale factors)
a) 4 cm
b) 8 cm
c) 12 cm
d) 18.75 cm
Found 2 solutions by Alan3354, rothauserc:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A square with side lengths of 15 cm is reduced by a scale factor of 0.8. Determine the side lengths of the new square?
----------------
15*0.8 cm

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The ratio of the corresponding sides of two geometric figures is called the scale factor
:
For this problem, we are are told that the length of new square's side is less(reduced) than the length of the original square's side, so we want to construct the ratio of the new square's side to the original square's side. 8/10 means that 8 cm of the smaller square's side corresponds to 10 cm of the larger square
:
let x be the length of the smaller square
:
x/15 = 8/10
:
cross multiply the two fractions
:
10x = 120
:
x = 12
:
the new(smaller) square's side is 12 cm
:
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