Step-by-step explanation:
The area of a parallelogram is base times height. You are given the base and the height of each parallelogram, so you can find their areas.
Red parallelogram:
area = base * height = 12 yd * 7 yd = 84 sq yd
Blue parallelogram:
area = base * height = 24 yd * 3 yd = 72 sq yd
Each parallelogram is made up of 6 parts whose areas are equal. To find the area of each piece of the red parallelogram, we divide 84 sq yd by 6.
Red parallelogram piece:
area = 84 sq yd/6 = 14 sq yd
Blue parallelogram piece:
area = 72 sq yd/6 = 12 sq yd
Now we know that each small red polygon has area 14 sq yd, and each blue polygon has area 12 sq yd.
Part A: 52 sq yd
52 = 14 + 14 + 12 + 12
Use 2 small red polygons and 2 small blue polygons.
Part B: 70 sq yd
70 = 5 * 14
Use 5 small red polygons.
Part C: 36 sq yd
36 = 3 * 12
Use 3 small blue polygons.
