Trapezoid abcd is graphed in a coordinate plane. what is the area of the trapezoid? 10 square units 12 square units 20 square units 24 square units

There are a number of ways to figure the area of this trapezoid. if you use the "area of a trapezoid" formula directly, you need to calculate the base lengths and the height (perpendicular to the bases).consider the length (d) of the diagonal of a unit square. the pythagorean theorem tells you it is  d² = 1² + 1² = 2or  d = √2if we draw point e at (-2, 1) then ec is the height of the trapezoid and the area formula tells you  area = (1/2)(ab +cd)(ec)since these line segments are all multiples of the diagonal of the graph squares, we can see the area is  area = (1/2)(4√2 + 2√2)(2√2)    = (1/2)(6√2)(2√2)     = (1/2)(12)(√2)²    = 6·2  area = 12 square unitsyou will get the same answer by dividing the figure into two triangles and a parallelogram using either horizontal or vertical lines, by drawing a rectangle around the whole thing and subtracting the corner triangles, or by using the appropriate formula on the coordinates of the vertices. these are several other ways to find the area to be 12 square units.