4.) The dotted line on the trapezoid is one of the lines. As you can see, to the left of the line is a right triangle. The other line should be drawn on the right side of the trapezoid to section off the other triangle. Now there is a rectangle in the middle with dimensions of 8 cm by 6 cm, and two identical triangles on either side. To find their base length, we can subtract 8 from 12 to get 4. These difference represents the sum of the two triangles' bases. Since the triangles are identical, we can divide 4 in half to get a base of 2 cm for each triangle. Therefore the triangles both have dimensions of 2 cm by 6 cm.
To find the area, we can add together the areas of the triangles and rectangle. We use length times width to find the area of a rectangle, and we use one-half base times height to find the area ofo a triangle.
Rectangle: 8*6 = 48 cm^2
Triangle: 0.5*2*6 = 6 cm^2
So the area of the trapezoid is 48 + 6 + 6 = 60 cm^2
