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To find the area of the pentagon, you can break the pentagon into shapes that you know how to find the area of.  There is a triangle above the horizontal line and a trapzoid below the line.

A = 1/2bh (triangle)
      1/2 x 6 x 4
A = 12 square inches

A = 1/2 h(b1 + b2)
       1/2 x 5(4 + 6)
A = 25 square inches.

Add these together to get the total area.

12 + 25 = 37 square inches.
    

You can find the area of a rectangle by multiplying the length and height. so multiply 1/2*7/4(which is the simpler version of 1 3/4) and you get 7/8 as your answer.

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