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Question

The ratio of areas of two similar triangles is 214:1. If the perimeter of large triangle is 36 cm, then find the perimeter of smaller triangle.
  1. 16 cm
  2. 20 cm
  3. 12 cm
  4. 24 cm

A
16 cm
B
20 cm
C
24 cm
D
12 cm
Solution
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The correct option is A 16 cm
Ratio of areas of two similar triangles is 94:1=2.25:1.
2.25x is the area of larger triangle
Perimeter of large triangle is 36 cm
Area of triangle =12 perimeter of triangle
2.25x=362cm
x=8
Thus, area of smaller triangle is 8 cm.
Perimeter of smaller triangle =2×8=16 cm

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