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1 November, 11:03

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. 1 November, 13:44
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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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