Mathematics
Grade9
Easy

Question

Find the value of x in the following similar polygons.

  1. 8    
  2. 12    
  3. 16    
  4. 20    

Hint:

We know when two polygons are similar their corresponding sides will be proportional. So. by equating the ratios we will get the value of x.

The correct answer is: 8


    Corresponding sides of similar polygons are proportional.
    fraction numerator A B over denominator Q R end fraction equals fraction numerator 12 over denominator 6 end fraction equals 2
    fraction numerator A D over denominator Q T end fraction equals fraction numerator 10 over denominator 5 end fraction equals 2
    fraction numerator D C over denominator T S end fraction equals fraction numerator 16 over denominator 8 end fraction equals 2
    fraction numerator B C over denominator R S end fraction equals fraction numerator x over denominator 4 end fraction equals 2
    So, x equals 8

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