With this math problem
this figure is made up of a rectangle and parallelogram. what is the area of this figure? enter your answer. do not round any side lengths. coordinate plane with axes labeled x and y. a closed figure is formed by a parallelogram and rectangle. the vertices are (-6, -1), (2, 1), (2, 7), (3, 3), (3,-3) and (-5,5).

First, draw a line connecting (3, -3) and (2,1), to enclose the rectangle.
Find the dimensions of this rectangle and then calculate the area.
Length of rectangle:  sqrt(64+4) = sqrt(68) = sqrt(17)sqrt(4)
Width of rectangle:  sqrt(16+1)   = sqrt(17)
Area of rectangle:  sqrt(17)sqrt(4)sqrt(17) = 17(2) = 34

Width of parallelogram:  1
Length of parallelogram:  6
Area of parallelogram:  6

Total area of figure:  34 + 6 = 40 square units (answer)

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