Question

The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.
Area of larger triangle = 165 ft^2

Thank you!!​

Answer 1

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Answer:

  smaller triangle area = 73 1/3 ft^2

Step-by-step explanation:

The smaller triangle has a ratio of linear dimensions of 10/15 = 2/3 of that of the larger triangle. The area ratio is the square of this, so the area of the smaller triangle is ...

  (165 ft^2)(2/3)^2 = (165 ft^2)(4/9) = 220/3 ft^2 = 73 1/3 ft^2