Answer:
186 cm^2
Step-by-step explanation:
5.
Think of the composite figure as being made up of two parallelograms.
Look at the top side that measures 12 cm. Extend that side to the right until it intersects the right side that slopes up to the right and is close to the number 6 from problem 6.
The larger bottom parallelogram has a base measure of 22 cm and a height of 8 cm.
Then the small parallelogram on the top right of the larger parallelogram has a base measure of 22 cm - 12 cm = 10 cm, and a height of 9 cm - 8 cm = 1 cm.
Now we find the areas of the two parallelograms and add them.
area of parallelogram = base * height
Bottom parallelogram:
A = bh
A = 22 cm * 8 cm = 176 cm^2
Upper parallelogram:
A = bh
A = 10 cm * 1 cm = 10 cm^2
Total area = sum of the areas
Total area = 176 cm^2 + 10 cn^2 = 186 cm^2
