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Math Help - area

  1. #1
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    area

    Find the area bounded by the line x - 2y + 10 = 0, the x-axis, the y-axis, and x = 10.

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  2. #2
    Super Member

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    Lexington, MA (USA)
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    Hello, cazimi!

    Find the area bounded by: the line x - 2y + 10 = 0, the x-axis,
    the y-axis, and x = 10.
    I don't suppose you made a sketch . . .
    Code:
                      |
                      |           *(10,10)
                      |        *::|
                      |     *:::::|
                      |  *::::::::|
                 (0,5)*:::::::::::|
                   *  |:::::::::::|
                *     |:::::::::::|
             *        |:::::::::::|
        - * - - - - - + - - - - - + -
        -10           |          10
                      |

    We have a trapezoid with: b
    1 = 5, b2 = 10, h = 10

    Use the area formula for trapezoids.

    ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

    If we must use Calculus, we have: .y .= .x + 5

    . . . . . . . . . .
    10
    Then: .A .= .
    (x + 5) dx
    . . . . . . . . .
    0

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