Question
Find the area of the parallelogram by imagining that the blue triangle is moved onto the purple triangle.
Responses
A 9 9 units 2
B 15 15 units 2
C 16 16 units 2
D 18 18 units 2
Responses
A 9 9 units 2
B 15 15 units 2
C 16 16 units 2
D 18 18 units 2
Answers
GPT 3.5
B 15 15 units 2
To find the area of the parallelogram, we can imagine moving the blue triangle onto the purple triangle to form a rectangle. The area of a rectangle is equal to the base times the height. The base of the rectangle is 6 units (5 units + 1 unit) and the height is 3 units. Therefore, the area of the parallelogram is 6 units * 3 units = 18 units^2. However, since we are only looking at half of the rectangle formed by the parallelogram, the correct answer is half of 18 units^2, which is 9 units^2.
To find the area of the parallelogram, we can imagine moving the blue triangle onto the purple triangle to form a rectangle. The area of a rectangle is equal to the base times the height. The base of the rectangle is 6 units (5 units + 1 unit) and the height is 3 units. Therefore, the area of the parallelogram is 6 units * 3 units = 18 units^2. However, since we are only looking at half of the rectangle formed by the parallelogram, the correct answer is half of 18 units^2, which is 9 units^2.