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3 years ago

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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Five times the sum of a number and 27 is greater than or equal to six times the sum of that num

stepladder [879]

Question:

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.

What is the solution set of this problem?

Answer:

$x \leq -21$

Step-by-step explanation:

Given

<em>Represent the number with x</em>

So:

$5 * (x + 27) \geq 6 * (x + 26)$

Required

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Open Both Brackets

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Collect Like Terms

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