Answer:
240 yds
Explanation:
Split the polygon into two 2D shapes, a triangle and a rectangle. (Reminder: the area of a triangle is a=0.5bh-- when b=base and h=height-- and the area of a rectangle is a=bh. The triangle would be divided from the rectangle by continuing the line under the words "6yd".
Find the measurements of all the values needed to find area.
If the total height is 16 yds, the height of the triangle would be 8 since you can find half of the height is 8(on the farthest right side of the "rectangle" in the figure) and 8+8=16. The line that has the base of the triangle shows that it has a length totaling 24 yards and it also shows that without the base of the triangle the distance of the line is 6 yds+6 yds=12 yds. The total distance - the distance without the base = the distance of the base. Therefore 24-12=12 yds, so 12 yds is the base of the triangle.
The height of the rectangle is shown by the phrase "8 yds" and the base is shown by "24 yds" because it is perpendicular to the height.
Now, you must find the areas of each shape:
triangle:
0.5bh
(substitute all variables) 0.5×12×8
0.5×12=6 6×8= 48 48 yds=triangle area
rectangle:
bh
(substitute all variables) 24×8
24×8=(20×8)+(4×8)=160+32=192 192 yds=rectangle area
Add both of the areas:
192+48=240 yds