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11 December, 03:08

ratio of the perimeters of two similar triangles is 4:7. What is the area of each of these triangles if the sum of their areas is 65cm2.

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  1. 11 December, 05:07
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    16 cm², 49 cm²

    Step-by-step explanation:

    The area ratio is the square of the perimeter ratio, so is ...

    4² : 7² = 16 : 49

    As it happens the sum of these "ratio units" is 16 + 49 = 65, so each must represent 1 cm².

    The areas of the triangles are 16 cm² and 49 cm².
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