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18 October, 01:34

The necklace charm shown has two parts, each shaped like a trapezoid with identical dimensions. What is the total area, in square millimeters, of the charm? Enter your answer in the box. mm² The figure is two identical trapezoids which share a base. The bases of the trapezoids are 25 millimeters and 32 millimeters. The height of the trapezoids is 15 millimeters

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  1. 18 October, 04:18
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    The area of the trapezoid can be calculated through the equation,

    A = (b₁ + b₂) h / 2

    where b₁ and b₂ are the bases and h is the height. Substituting the known values from the given,

    A = (25mm + 32mm) (15 mm) / 2

    A = 427.5 mm²

    Since there are two trapezoids in the necklace, the area calculated is to be multiplied by two to get the total area.

    total area = (427.5 mm²) (2)

    total area = 855 mm²
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