SOLUTION: A farmer has fenced off a section of his land for a pigpen. The section of land can be described as a polygon with vertices W(7, 12), X(14,12), Y(17, 7), Z(2, 7) . if each unit rep

Algebra ->  Length-and-distance -> SOLUTION: A farmer has fenced off a section of his land for a pigpen. The section of land can be described as a polygon with vertices W(7, 12), X(14,12), Y(17, 7), Z(2, 7) . if each unit rep      Log On


   



Question 1141316: A farmer has fenced off a section of his land for a pigpen. The section of land can be described as a polygon with vertices W(7, 12), X(14,12), Y(17, 7), Z(2, 7) . if each unit represents one foot, what is the area of the pigpen?
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The y values of W and X are the same, so WX is a horizontal segment; likewise for Y and Z. So WXYZ is a trapezoid (opposite sides are parallel).

The area of a trapezoid is the height, multiplied by the average of the two bases.

The bases are WX and YZ; the height is the difference between the y coordinates of the two parallel sides.

Plug in the numbers....