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Lostsunrise [7]
3 years ago
11

What is the area of the shape below

Mathematics
1 answer:
Bad White [126]3 years ago
3 0

Answer:

The area of the shape is A=886 \:cm^2.

Step-by-step explanation:

The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.

First  separate the composite shape into three simpler shapes, in this case two rectangles and  a triangle. Then find the area of each figure.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

The area of the first rectangle is A=34\cdot 16=544\:cm^2

The area of the second rectangle is A=11\cdot19=209\: cm^2

The area of a triangle is given by the formula A=\frac{1}{2} bh where <em>b</em> is the base and <em>h</em> is the height of the triangle.

The area of the triangle is A=\frac{1}{2} \cdot 14\cdot19=133\:cm^2

Finally, add the areas of the simpler figures together to find the total area of the  composite figure.

A_{composite\:shape}=544+209+133=886 \:cm^2

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3 years ago
PLEASE HELP DUE ON THURSDAY
valentinak56 [21]

Answer:

  1. 615.8 m^2
  2. 314.2 cm^2
  3. 38.5 ft^2
  4. 113.1 in^2
  5. 1075.2 m^2 . . . . corrected to 107,521.0 m^2
  6. 490.9 yd^2
  7. 18.8 m
  8. 94.2 in
  9. 81.7 ft
  10. 59.7 km
  11. 131.9 cm
  12. 144.5 yd

Step-by-step explanation:

The formula for the area of a circle is ...

   A = πr^2

For each of the given circles, use the value of the radius in this formula. For example, for problem 2, the diameter is shown as 20 cm, so the radius is half that, 10 cm. Putting that value into the formula gives ...

  A = 3.14159·(10 cm)^2 = 314.159 cm^2 ≈ 314.2 cm^2

___

The formula for the circumference of a circle is ...

  C = 2πr . . . . when the radius is given

or ...

  C = πd . . . . . when the diameter is given

As above, put the value for radius (or diameter) into the appropriate formula and evaluate it. For problem 12, that is ...

  C = 3.14159·(46 yd) = 144.513 yd ≈ 144.5 yd

_____

<em>Comment on doing lots of problems</em>

The idea behind having you do lots of problems is that repetition will help you remember the formula and/or how to use it. Personally, I find it tedious, so I like to let a spreadsheet or graphing calculator do the arithmetic when there are lots of identical problems (just with different numbers). This question is posted in the college math forum, so we assume you have a graphing calculator and know how to use it.

The attached photo shows a calculator set up to do the calculation and the rounding for each of the problem types. To get the answer to the last area calculation requires scrolling to the right to find it is 490.9 yd^2.

Note that we have used the calculator's button for π. If you put the number in yourself, use the one shown above, or the ratio 355/113, which is accurate to 7 digits.

In some cases, the numbers in the photo are not terribly clear. I took my best guess. In the event I read the value or units incorrectly, you will have to make appropriate adjustments—that is, do the calculation yourself.

_____

Late edit: apparently I read the number wrong for problem 5. The area of a circle with radius 185 m is 107,521.0086 m^2, which rounds to 107,521.0 m^2. Oops.

3 0
3 years ago
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