Answer:
176 yd²
Step-by-step explanation:
You want the shaded area of a parallelogram that has a trapezoid-shaped white area.
Parallelogram area
The area of a parallelogram is given by the formula ...
A = bh
The parallelogram shown has a base of 17 yd and a height of 7 yd +6 yd. Its area is ...
A = (17 yd)(7 yd +6 yd) = 221 yd²
Trapezoid area
The area of the white space cut from the parallelogram is given by the formula ...
A = 1/2(b1 +b2)h
where b1 and b2 are the parallel bases of the trapezoid, and h is the distance between them.
A = 1/2(7 yd +8 yd)(6 yd) = 45 yd²
Shaded area
The shaded area is the difference of these two areas:
shaded area = 221 yd² -45 yd² = 176 yd²
The area of the shaded region of the parallelogram is 176 yd².
