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Find the area of the following shape. You must show all work to receive credit.

Find The Area Of The Following Shape You Must Show All Work To Receive Credit class=

Sagot :

Heather

Answer: 12 units ²

Step-by-step explanation:

      We can break the given figure up into a trapezoid and a triangle. See the attached image. Now, we will find the total area.

      [tex]\displaystyle \text{Total area}=\text{Area of trapezoid}\;+\;\text{Area of triangle}[/tex]

      [tex]\displaystyle \text{Total area}=(1/2)(b_1+b_2)(h)\;+\;(1/2)(b)(h)[/tex]

      [tex]\displaystyle \text{Total area}=(1/2)(5+3)(2)\;+\;(1/2)(4)(2)[/tex]

      [tex]\displaystyle \text{Total area}=(1/2)(8)(2)\;+\;(1/2)(4)(2)[/tex]

      [tex]\displaystyle \text{Total area}=(2/2)(8)\;+\;(2/2)(4)[/tex]

      [tex]\displaystyle \text{Total area}=8+4[/tex]

      [tex]\displaystyle \text{Total area}=12[/tex]

View image Heather
View image Heather
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