Find the length of the second base of a trapezoid with one base measuring 15 feet, a height of 7.6 feet, and an area of 98.8 squar

Question

Find the length of the second base of a trapezoid
with one base measuring 15 feet, a height of
7.6 feet, and an area of 98.8 square feet.
A. 9 ft
B. 10 ft
C. 11 ft
D. 12 ft​

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Melanie 2 months 2021-10-15T16:05:15+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-15T16:06:39+00:00

    Answer:

    11 ft

    Step-by-step explanation:

    The area of a trapezoid is given as:

    A = ½(a + b)h

    Where a = length of one base of the trapezoid = 15 ft

    b = length of the second base of th trapezoid

    h = height of the trapezoid = 7.6 ft

    When the area is 98.8 ft², the length of the second base will be:

    98.8 = ½(a + 15) * 7.6

    2 * 98.8 = (a + 15) * 7.6

    197.6 / 7.6 = (a + 15)

    26 = (a + 15)

    => a = 26 – 15 = 11 ft

    The length of the second base if the trapezoid is 11 ft.

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45:7+7-4:2-5:5*4+35:2 =? ( )