Mathematics
Grade9
Easy

Question

Scale factor of A to B is 2: 9. If the perimeter of A is 18 cm, what is the perimeter of B?

  1. 81 cm
  2. 27 cm
  3. 36 cm
  4. 45 cm

hintHint:

In similar triangles, Ratio of the perimeter of similar triangles is equal to scale factor (or) ratio of corresponding sides.

The correct answer is: 81 cm


    Ratio of the perimeter of similar triangles = scale factor
    Let perimeter of triangle B be x.
    fraction numerator P e r i m e t e r space o f space A over denominator P e r i m e t e r space o f space B end fraction space equals space S c a l e space f a c t o r space
S u b s t i t u t i n g space g i v e n space v a l u e s comma
18 over x equals 2 over 9
x space equals space fraction numerator 18 cross times 9 over denominator 2 end fraction equals space 9 space cross times 9 space equals space 81 space c m
    Therefore, perimeter of B is 81 cm.

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