Question

Two triangles have a ratio of 3:4 for the length of their sides. If the area of the small triangle is 18 in^2, then what is the area of the bigger triangle

Answer 1

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Answer:

  32 square inches

Step-by-step explanation:

The side length scale factor is ...

  larger / smaller = 4/3

The area scale factor is the square of this:

  area scale factor = (4/3)² = 16/9

Then the larger triangle's area is ...

  (18 in²)(16/9) = 32 in²