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Answer:

    36.07

Step-by-step explanation:

    Method 1:

         [tex]A_1 = b * h = 3.1 * 3.4 = 10.54[/tex]

         [tex]A_2 = b * h = 3.8 * 3.7 = 14.06[/tex]

         [tex]A_3 = b * h = 3.1 * 3.7 = 11.47[/tex]

         [tex]A = A_1 + A_2 + A_3 = 10.54 + 14.06 + 11.47 = 36.07[/tex]

    Method 2:

         [tex]A_1 = b * h = (3.1 + 3.8)(3.4 + 3.7) = 6.9 * 7.1 = 48.99[/tex]

         [tex]A_2 = b * h = 3.4 * 3.8 = 12.92[/tex]

         [tex]A = A_1 - A_2 = 48.99 - 12.92 = 36.07[/tex]

Both solutions point to the same answer, so we can confirm it's correct

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