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Viktor [21]
2 years ago
5

Area of this composite figure

Mathematics
1 answer:
ankoles [38]2 years ago
6 0

Answer:

The area of a triangle is equal to its base times its height divided by 2: \begin{align*}A=\frac{bh}{2}\end{align*}. In order to find the composite area of two or more shapes, simply find the area of each shape and add them together.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Ashleyhas$40inasavingsaccount.Theinterestrateis 10% peryearandisnotcompounded.Howmuchwillshehavein4years?
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Step-by-step explanation:

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Determine the surface area of each triangular prism. Round to the nearest tenth if necessary.
slamgirl [31]

Answer:

  1. 108 cm^2
  2. 211.2 cm^2
  3. 308.8 mm^2
  4. 560 yd^2

Step-by-step explanation:

In each case, you can use the given formula to find the surface area. The area of the triangular base (B) is ...

  A = 1/2bh

where b is the base of the triangle, and h is the height of the triangle perpendicular to that base.

You will notice that B is multiplied by 2 in the area formula, because there is a triangular base at either end of the prism. That means we can save some work by not multiplying by 1/2, and then by 2.

__

For figures 1, 3, 4, the triangle is a right triangle, so the base and height make up two of the three sides of it. The perimeter is finished by adding the length of the hypotenuse. That sum is then multiplied by the "height" of the prism (distance between bases) to find the lateral area as part of the area formula (Ph).

In figure 3, the triangle is equilateral, so the perimeter is not the sum of the base and height and a third side. In the attached spreadsheet, we have used a value "rest of perimeter" to make the sum be the right value for use in computing the value of Ph. For figure 3, that is 6+6-5.2=6.8. Then the sum 6 +5.2 +6.8 is 18, the proper perimeter for that figure.

__

The idea here is to let a spreadsheet do the tedious work of applying the same formula to different sets of numbers. The areas are ...

  1. 108 cm^2
  2. 211.2 cm^2
  3. 308.8 mm^2
  4. 560 yd^2

__

By way of example, we can "show work" for problem 1:

1. S = Ph +2B

  S = (4 +3 +5)(8) +2(1/2)(4)(3) = 12(8) +12 = 96 +12 = 108 . . . cm^2

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2 years ago
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<span>1.5 times the number of carnation bushes. 
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A contractor has installed a silt fence around an area that is semi-circular and level to prevent soil from the construction sit
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