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lukranit [14]
3 years ago
10

What is the area of rectangle DEFG shown below.

Mathematics
1 answer:
Pie3 years ago
5 0

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

__

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

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