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28 November, 14:47

Mariko has a bedroom wall that is shaped like a trapezoid with a height of 8 ft, a top base of 10 ft, and a bottom base of 13 ft. In the middle of this wall is a circular window whose radius is 2 ft. What is the area of the wall without the window? Use 3.14 for pi.

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  1. 28 November, 16:10
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    First, you have to find the area of the entire wall, including the window. The formula for the area of a trapezoid is:

    A = (b1 + b2) / 2 * h

    b1 is the first base, b2 is the second base, A is the total area, and h is the height.

    Plug in the numbers from the problem.

    (13 + 10) / 2 * 8

    Simplify.

    (23) / 2*8

    11.5*8 = 92

    Now, to calculate the window's surface area, you use the formula for area of a circle.

    A = 3.14*r^2

    Plug in your number.

    A = 3.14 * 2^2

    Simplify.

    A = 3.14 * 4

    A = 12.56

    Now, you subtract the area of the window from the total area of the wall.

    92 - 12.56 = 79.44

    79.44 feet
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