Mathematics
Grade9
Easy

Question

Find the perimeter of the polygon ABCD if the given polygons ABCD and QRST is similar.

  1. 46    
  2. 23    
  3. 44    
  4. 54    

Hint:

We know that when two polygons are similar their sides will be proportional. So, by equating the ratios we can get the value of x and then we will get the perimeter of polygon ABCD.

The correct answer is: 46


    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
    x equals 8
    Perimeter of the polygon ABCD is, 10 + 12 + 16 + 8 = 46.

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