Answer:
60 square units
Step-by-step explanation:
You can get there a couple of ways.
One way is to consider the enclosing rectangle, which is 9 units by 11 units, so has an area of 99 square units. From that will be subtracted two triangles having height 2 and width 6, and two triangles having height 3 and width 9. Thus the net area in rectangle DEFG is ...
99 - 2·6 - 3·9 = 60 . . . square units
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Another way is to find the lengths of each of the sides and multiply those.
Short side = √(2²+6²) = 2√10
Long side = √(3²+9²) = 3√10
area = short side × long side = (2√10)(3√10) = 6·10 = 60 . . . square units
#4 is b. you use the law of sines to find the missing angles and side lengths.
8×6= 48
4×6=24, 24+24=48
or
(4×6)+(4×6)=2×4×6=8×6
