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SVETLANKA909090 [29]
3 years ago
12

Need to know the area of the composite figure.

Mathematics
1 answer:
Deffense [45]3 years ago
7 0

Answer:

  51 m^2

Step-by-step explanation:

The shaded area is the difference between the area of the overall figure and that of the rectangular cutout.

The applicable formulas are ...

  area of a triangle:

     A = (1/2)bh

  area of a rectangle:

     A = bh

  area of a trapezoid:

     A = (1/2)(b1 +b2)h

___

We note that the area of a triangle depends only on the length of its base and its height. The actual shape does not matter. Thus, we can shift the peak of the triangular portion of the shape (that portion above the top horizontal line) so that it lines up with one vertical side or the other of the figure. That makes the overall shape a trapezoid with bases 16 m and 10 m. The area of that trapezoid is then ...

  A = (1/2)(16 m + 10 m)(5 m) = 65 m^2

The area of the white internal rectangle is ...

  A = (2 m)(7 m) = 14 m^2

So, the shaded area is the difference:

  65 m^2 -14 m^2 = 51 m^2 . . . . shaded area of the composite figure

_____

<em>Alternate approach</em>

Of course, you can also figure the area by adding the area of the triangular "roof" to the area of the larger rectangle, then subtracting the area of the smaller rectangle. Using the above formulas, that approach gives ...

  (1/2)(5 m)(16 m - 10 m) + (5 m)(10 m) - (2 m)(7 m) = 15 m^2 + 50 m^2 -14 m^2

  = 51 m^2

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alukav5142 [94]

Answer:

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An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram c
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Answer:

The correct options is A.

Step-by-step explanation:

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It means, if a irregular parallelogram rotates 180° about the midpoint of its diagonal, then the image of the parallelogram coincide with its preimage during the rotation.

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6 0
3 years ago
Urgent
Damm [24]

The result of our calculations about the rate and time are:

  • r=d/t
  • 200000m/hr
  • 200km/hr
  • km/hr

<h3>What is rate?</h3>

Rate can be regarded as the given object with respect to time.

falcon flies= 800,000 meters

t= 4 hours

We were given the  formula as (d = rt)

d= distance

r = rate

t = time

We can make our calculations as:

part a:

r=d/t

part b:

falcon's rate in meters per hour = 800,000 meters / 4 hours = 200000m/hr

part c:

falcon's rate in kilometers per hour=(200000m/hr *(1/1000)=200km/hr

part d:

km/hr

Learn more about rate at:

brainly.com/question/8728504

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