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Question

The sides of a triangle park are in ratio 3:5:7, if its perimeter is 90 m, Find its area.


  1.  = 135 m2 

  2.  = 1353 m2 

  3.  = 1323 m2 

  4.  = 1383 m2 


Solution

The correct option is B

 = 1353 m2 


Let the sides be 3x, 5x, 7x

Given 3x+5x+7x = 90

  15x = 90

  x = 6

Therefore the sides are 18cm, 30cm and 42 cm

Semiperimeter = 902 = 45

Area of triangle = 45(4518)(4530)(4542)

                         = 45×27×15×3

                         = 9×5×9×3×3×5×3

                         =  9×5×3×3

                         = 1353 m2 

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