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3 years ago

10

What is the area of rectangle DEFG shown below.

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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Answer:

Solutions: $x = \frac{-3}{ 4} + i \sqrt{39}$ , $x = \frac{-3}{4} - i \sqrt{39}$

Step-by-step explanation:

Given the quadratic equation, 2x² + 3x + 6 = 0, where a =2, b = 3, and c = 6:

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