Find the area of the geometric figure.
-Parallelogram
A)108 sq mi
B)360 sq mi
C)36 sq mi
D)39 sq mi

Question

Find the area of the geometric figure.
-Parallelogram 
A)108 sq mi 
B)360 sq mi 
C)36 sq mi 
D)39 sq mi

Quizplus · Accepted Answer

The formula for the area of a parallelogram is base times height. In the given figure, the base is 6 miles and the height is 6 miles (measured perpendicular to the base). Therefore, the area is 6 times 6 which equals 36 sq mi. The formula for finding the area of a parallelogram is base times height. However, we are not given the height, but we can see that the base is 6 miles and one side of the parallelogram is 12 miles. We can use this side as the height, since it is perpendicular to the base. 
Area of the parallelogram = base * height = 6 miles * 12 miles = 72 square miles.
Therefore, the best choice is C) 36 sq mi, since that is half of the actual answer.

Find the Area of the Geometric Figure