10.2 平行面积

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  平行面积

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  Area of a Parallelogram
  ::平行面积

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  A is a quadrilateral whose opposite sides are parallel .
  ::A是四边形,其对立面是平行的。

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  To find the area of a parallelogram, make it into a rectangle .
  ::要找到平行图的区域, 把它变成一个矩形 。

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  From this, we see that the area of a parallelogram is the same as the area of a rectangle. The area of a parallelogram is $\begin{array}{r}A=bh\end{array}$ . The height of a parallelogram is always perpendicular to the base. This means that the sides are not the height.
  ::从这里可以看出,平行图的面积与矩形的面积相同。平行图的面积是 A=bh。平行图的高度总是与基座垂直。这意味着两边不是高度。

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  What if you were given a parallelogram and the size of its base and height? How could you find the amount of space the parallelogram takes up?
  ::如果给您一个平行图, 以及其基数和高度的大小呢? 您如何找到平行图占用的空间大小 ?

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  Examples
  ::实例

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  Example 1
  ::例1

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  Find the area of the parallelogram.
  ::查找平行图的区域 。

  

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  Area is $\begin{array}{r}15(6)=90u{n}^2\end{array}$ .
  ::区域是15(6)=90 un2。

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  Example 2
  ::例2

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  Find the area of the parallelogram with a base of 10 m and a height of 12 m.
  ::查找以10米和12米高度为基数的平行图区域。

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  Area is $\begin{array}{r}10(12)=120m^2\end{array}$ .
  ::面积是 10( 12) = 120 m2。

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  Example 3
  ::例3

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  Find the area of the parallelogram.
  ::查找平行图的区域 。

  

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  $\begin{array}{r}A=15\cdot 8=120i{n}^2\end{array}$
  ::A=158=120英寸2

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  Example 4
  ::例4

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  If the area of a parallelogram is $\begin{array}{r}56unit{s}^2\end{array}$ and the base is 4 units, what is the height?
  ::如果平行图的面积是56个单位2,基数是4个单位,高度是多少?

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  Solve for the height in $\begin{array}{r}A=bh\end{array}$ .
  ::解决A=bh的高度问题。

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  $$\begin{array}{rl}56units& =4h\\ 14units& =h\end{array}$$

  
  ::56单位=4h14单位=h

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  Example 5
  ::例5

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  If the height of a parallelogram is $\begin{array}{r}12m\end{array}$ and the area is $\begin{array}{r}60m^2\end{array}$ , how wide is the base?
  ::如果平行图的高度是12米,而面积是60平方米,那么基数有多大?

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  Solve for the base in $\begin{array}{r}A=bh\end{array}$ .
  ::为A=bh的基地解决

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  $$\begin{array}{rl}60units& =12b\\ 5units& =b\end{array}$$

  
  ::60单位=12b5单位=b

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  Review
  ::回顾

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  1. Find the area of a parallelogram with height of 20 m and base of 18 m.
     ::查找高20米、底部18米的平行图区域。
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  2. Find the area of a parallelogram with height of 12 m and base of 15 m.
     ::查找高12米、底部15米的平行图区域。
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  3. Find the area of a parallelogram with height of 40 m and base of 33 m.
     ::找到一个高度为40米、基底为33米的平行图区域。
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  4. Find the area of a parallelogram with height of 32 m and base of 21 m.
     ::查找高度为32米、基数为21米的平行图区域。
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  5. Find the area of a parallelogram with height of 25 m and base of 10 m.
     ::查找高25米、底部10米的平行图区域。

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  Find the area of the parallelogram.
  ::查找平行图的区域 。

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  12. If the area of a parallelogram is $\begin{array}{r}42unit{s}^2\end{array}$ and the base is 6 units, what is the height?
      ::如果平行图的面积是42个单位2,基数是6个单位,高度是多少?
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  13. If the area of a parallelogram is $\begin{array}{r}48unit{s}^2\end{array}$ and the height is 6 units, what is the base?
      ::如果平行图的区域是48个单位2,高度是6个单位,则基数是什么?
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  14. If the base of a parallelogram is 9 units and the area is $\begin{array}{r}108unit{s}^2\end{array}$ , what is the height?
      ::如果平行图的基数是9个单位,而面积是108个单位2,高度是多少?
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  15. If the height of a parallelogram is 11 units and the area is $\begin{array}{r}27.5unit{s}^2\end{array}$ , what is the base?
      ::如果平行图的高度是11个单位,而面积是27.5个单位2,那么基地是什么?

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  Review (Answers)
  ::回顾(答复)

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  Click to see the answer key or go to the Table of Contents and click on the Answer Key under the 'Other Versions' option.
  ::单击可查看答题键, 或转到目录中, 单击“ 其他版本” 选项下的答题键 。