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9 December, 17:56

Consider that the length of rectangle A is 10 cm and its width is 6 cm. Which rectangle is similar to rectangle A? A) A rectangle with a length of 9 cm and a width of 6 cm. B) A rectangle with a length of 15 cm and a width of 9 cm. C) A rectangle with a length of 14 cm and a width of 7 cm. D) A rectangle with a length of 12 cm and a width of 8 cm.

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Answers (2)
  1. 9 December, 20:35
    0
    B

    Step-by-step explanation:

    10/6=5/3=15/9
  2. 9 December, 20:54
    0
    B) A rectangle with a length of 15 cm and a width of 9 cm

    Step-by-step explanation:

    In similar figures sides are in proportion. The given rectangle A has length and width in the ratio 10:6=5:3.

    For option A ratio of sides for the rectangle = 9:6=3:2

    For option B ratio of sides = 15:9=5:3

    For option C ratio of sides = 14:7=2:1

    For option D ratio of sides = 12:8=3:2.

    Option B that is A rectangle with a length of 15 cm and a width of 9 cm has the same ratio of sides as that of rectangle with side 10 cm and width 6cm.

    Hence the two rectangles are similar.
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