The area of a trapezoid is 15 cm2. The height is 3 cm, and the bases have lengths of 2x and 3x cm. Find x, and give the lengths of the two b

Question

The area of a trapezoid is 15 cm2. The height is 3 cm, and the bases have lengths of 2x and 3x cm. Find x, and give the lengths of the two bases.

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Trúc Chi 3 days 2021-07-19T13:49:42+00:00 1 Answers 1 views 0

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    2021-07-19T13:51:38+00:00

    Answer:

    • x = 2, bases are 4 cm and 6 cm

    Step-by-step explanation:

    Area formula:

    • A = 1/2(b1 + b2)h

    Substitute the given values:

    • 15 = 1/2(2x + 3x)(3)
    • 1/2(15x) = 15
    • x = 2

    The bases are:

    • b1 = 2*2 = 4 cm
    • b2 = 3*2 = 6 cm

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