Question 1109612: What is the area of this parallelogram?
28 mē
56 mē
84 mē
120 mē
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 D and C and connects to point B by a dotted segment. Point E is between A and B and connected to point D by a dotted segment. D F B E is a rectangle with all right angles. DF is 8 meters. F C is 4 meters. A E is 4 meters. E B is 8 meters. F B is 7 meters.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! When this is drawn out, there is a rectangle of area 56 m^2 (7 x 8) plus two right triangles with legs 4 and 7.
If the triangles are pushed together, that is a 4 x 7 rectangle, or 28 m^2, so the answer is the sum of the two or 84 m^2.
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