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2 October, 02:22

Rhombus A has a base of 7 inches and an area of 35 square inches. Rhombus B has a base and height that are three times the base and height of rhombus A. Find the area of rhombus B and compare it to the area of rhombus A. Explain.

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  1. 2 October, 02:51
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    For rhombus A:

    base = 7 in

    area = 35 in²

    Area of rhombus = b * h

    ⇒ 35 = 7 * h

    ⇒ h = 35/7

    ⇒ h = 5 in

    Rhombus B:

    height = 3*5 = 15 in

    base = 7*3 = 21 in

    Area = 15 * 21 = 315 in²

    Area of rhombus B is 9 times area of rhombus A. When the dimensions are increased to 3 times the initial dimension, area became 9 times.
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