What is the area of this parallelogram?

60 cm²

66 cm²

72 cm²

132 cm²

Parallelogram A B C D with side D C parallel to side A B and side A D parallel to side B C. Point F is between points D and C and connects to point B with a dotted segment. Point E is between points A and B is connected to point D with a dotted segment. D F B E is a rectangle with all right angles. D F is 5 centimeters. F C is 6 centimeters. E B is 5 centimeters. A E is 6 centimeters. D E is 12 centimeters.

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josh1671 josh1671 · Answer 1 · 2017-03-01T04:44:08-05:00

I think it's b.im not sure.can u help me with my work please

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virtuematane virtuematane · Answer 2 · 2019-01-31T02:33:26-05:00

Answer:

The area of parallelogram is: 132 cm^2.

Hence option D is correct.

Step-by-step explanation:

The figure of the following question based on the information provided is attached to the answer.

We know that the area of a parallelogram is given by:

area=b×h

where b denotes the base of the parallelogram and h denotes the height of the parallelogram.

Here in this question b=AB=5+6=11 cm

h=DE= 12 cm

Hence the area of parallelogram ABCD= 11×12= 132 cm^2

Hence the area of the parallelogram ABCD based on the information is 132 cm^2.

Hence, option D is correct.